how do you find a fraction of a quantity
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How to Find a Fraction of a Number A fraction is defined as the expression a/b, where a and b are integers. In the fraction a/b, a is the numerator and b is the denominator. Find the fraction of an integer. You can calculate the fraction of a whole number by multiplying the number by the numerator and dividing that product by the denominator.Thus, the fraction a/b of a whole number x is given by ax/b.Calculate the fractions of an integer for specific cases. For example, ¾ of 21 is (3x21)/4 or 63/4.ind the fraction of an integer. You can calculate the fraction of a whole number by multiplying the number by the numerator and dividing that product by the denominator. Thus, the fraction a/b of a whole number x is given by ax/b.
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- For example:• Convert 0.625 to 625 ⁄ 1000 and then cancel to 5 ⁄ 8 .Link to percentages (pages 70–1).Convert fractions to decimals.Use division to convert a fraction to a decimal,without and with a calculator.or example:• Write the ratio 12:9:3 in its simplest form.Link to fraction notation (pages 60–3).Simplify a ratio expressed in different units.For example:• 2m:50cm• 450g:5kg• 500mm: 75cm:2.5mLink to converting between measures (pages 228–9).Consolidate understanding of the relationshipbetween ratio and proportion.
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- These can be simplified by creating a mixed number, which has a whole number component and a fractional component. For example, five fourths is equal to one and one fourth, or 1.25 in decimal. 1  The reciprocal of 2/7 is 7/2, which reduces to 3.5.
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Fraction (mathematics) For example, in the fraction 3/4, the numerator, 3, tells us that the fraction represents 3 equal parts, and the denominator, 4, tells us that 4 parts make up a whole. The picture to the right illustrates or 3/4 of a cake.imilarly, an improper fraction can be converted to a mixed number as follows: 1  Divide the numerator by the denominator. 2  In the example, , divide 11 by 4. 11 ÷ 4 = 2 with remainder 3. 3  The quotient (without the remainder) becomes the whole number part of the mixed number.
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Definitions &Translations For example, in the fraction 3/4, the numerator, 3, tells us that the fraction represents 3 equal parts, and the denominator, 4, tells us that 4 parts make up a whole. The picture to the right illustrates 3 4 {\displaystyle {\tfrac {3}{4}}} or ¾ of a cake.
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Convert Percents to Fractions To convert a Percent to a Fraction follow these steps: 1  Step 1: Write down the percent divided by 100. 2  Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point.3  Step 3: Simplify (or reduce) the fraction. Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. ( 2 For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.).
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- To convert a Fraction to a Decimal manually, follow these steps: 1  Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. 2  Step 2: Multiply both top and bottom by that number.
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- Children should be reminded that the parts into which the whole is divided must be of equal size. A fraction can be defined formally as a number that can be expressed in the form, where b ≠ 0, a is the numerator, and b is the denominator.
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- 2. Convert a non-periodic decimal to a fraction. Move the decimal point as many places to the right as you have decimals. This will now be your numerator, which you will divide over the denominator, which is a number starting with 1 and then as many zeros as you have decimals in your original number.hange a percent to a fraction. The percent becomes the numerator, which you divide over 100 and then simplify, or reduce to its lowest form. 1  Example: 36% turns to 36/100. 2  To simplify, look for the highest number that goes into 36 and 100.
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- Divide the denominator (bottom number) into the numerator (top number). A fraction is a division. Here's an example. 12/4 becomes 12 ÷ 4 = 3. To visualize this, think of a … pizza. Say it's one of those personal pizzas and you slice the pizza into four equal slices (fourths, quarters, or 1/4 the original whole pizza).
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How to Subtract Fractions Steps. 1. Find the denominators of the fractions. If you want to subtract fractions, then the first thing you have to do is to make sure that they have like denominators. The numerator is the number on the top of the fraction and the denominator is the number on the bottom.In the example, 3/4 - 1/3, the two denominators of the fractions are 4 and 3. Circle them.1  If the denominators of the fractions are the same, then you can just subtract the numerators and keep the denominator the same. 2  For example, 4/5 - 3/5 = 1/5. 3  If the fraction is in simplified form, as this one is, then you're done.f you want to subtract fractions, then the first thing you have to do is to make sure that they have like denominators. The numerator is the number on the top of the fraction and the denominator is the number on the bottom.
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Multiplying Fractions Calculator Including Whole and Mixed Numbers Here again, in order to divide a fraction by a whole number you first need to convert the whole number into an improper fraction. To do that you simply place the whole number over the number 1 (any non-zero number divided by 1 is equal to the number), like this: Converting a Whole Number to a Fraction. 4 = 4 1.
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How to Multiply Fractions With Whole Numbers 1 Multiply the denominators of 5/1 and 8/10 by multiplying 1 * 10. 2  The answer is 10, so your new denominator will be 10. 3  After multiplying the numerators and denominators of your fractions, your answer will be in fraction form, with the new numerator over the new denominator.
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Convert From a Decimal To a Fraction Decimals and fractions represent the same thing: a number that is not exactly a whole number. This page will show you how to convert a decimal into its equivalent fraction. Enter the positive decimal number you want to convert to a fraction here: (for negative decimal numbers the answer would be the same but negative, ex: -1.25 = -1 )
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Basic Fractions Model Basic Fractions Model. Here are the basic models. You can also check out the other variations of the fractions model . To show half, draw 2 equal boxes to represent the total number of equal parts and shade 1 part out of the 2 equal parts. Similarly, to show one-third, draw 3 equal boxes to represent the total number of equal parts and shade 1 part out of the 3 equal parts. To show three-quarters, draw 4 equal boxes to represent the total number of equal parts and shade 3 parts out of the 4 equal parts.
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Convert Fractions to Decimals Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.Step 2: Multiply both top and bottom by that number. Step 3.xample: Convert 1/3 to a Decimal. Step 1: There is no way to multiply 3 to become 10 or 100 or any 1 followed by 0s, but we can calculate an approximate decimal by choosing to multiply by, say, 333. Step 2: Multiply top and bottom by 333:
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- First, you change the whole number into a fraction by putting a 1 in the denominator. EX. 2 changes to 2/1 Then, multiply normally across. EX. 2/1 * 4/5 = 8/5. 3 people found this useful.
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- 1 Step 1: Write down the decimal divided by 1, like this: decimal 1. 2  Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)  Step 3: Simplify (or reduce) the fraction.
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How to Multiply Fractions With Whole Numbers 2. Multiply the numerators of the two fractions. To get the numerator of your answer, you simply have to multiply the numerator of the first fraction with the numerator of the second fraction. 3. Multiply the denominators of the two fractions.
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WHAT IS A FRACTION? Since the numerator and denominator are natural numbers, the numerator has a ratio to the denominator. (3 is three tenths of 10.) And the fraction itself has that same ratio to 1. (3/10 is three tenths of 1.) . Fractional symbols therefore indicate a ratio. The fraction indicates the ratio of 1 to 2. 1 is half of 2.
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Fractions A fraction is a number expressed in the form of $\frac{a}{b}$, where the numerator 'a' signifies the number of parts it has, and the denominator 'b' is the number of parts the whole is divided into. There are three types of fractions: Proper fractions. Improper fractions.
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Fractions A fraction is a number that expresses part of a group. Fractions are written in the form or a / b, where a and b are whole numbers, and the number b is not 0. For the purposes of these web pages, we will denote fractions using the notation a / b, though the preferred notation is generally. fraction is in lowest terms when the greatest common factor of its numerator and denominator is 1. There are two methods of reducing a fraction to lowest terms. Method 1: Divide the numerator and denominator by their greatest common factor.
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- Multiply the denominators of the two fractions. To get the denominator of your answer, you simply have to multiply the denominator of the first fraction with the denominator of the second fraction. 1  Multiply the denominators of 5/1 and 8/10 by multiplying 1 * 10.
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- To Subtract Fractions with different denominators: 1  Find the Lowest Common Denominator (LCD) of the fractions. 2  Rename the fractions to have the LCD. 3  Subtract the numerators of the fractions. Rename the fractions to use the Lowest Common Denominator (3/12=9/36, 2/9=8/36). 2  The result is 9/36 - 8/36. 3  Subtract the numerators and put the difference over the LCD = 1/36. 4  Simplify the fraction if possible.
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What is a Fraction? - Definition and Types We have a top number, the numerator, and a bottom number, the denominator. For example, 1/2 is a fraction. You can write it with a slanted slash like we have or you can write the 1 on top of the 2 with the slash between the two numbers. The 1 is the numerator, and the 2 is the denominator.
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- Multiply the numerators and denominators of the fractions and simplify your answer. Now, do the same thing you would do to multiply. If you multiply the numerators, 1 and 20, you get the result of 20 in the numerator. If you multiply the denominators, 2 and 18, you get 36 in the numerator.