Yes No
Because we want to know how many two-thirds there are, we have to make groups of $2$ thirds, or divide the number of thirds we have by $2$. So there are $(2\times 3)\div 2 = 6\div 2 = 3$ two-thirds in 2. We can connect this to the algorithm for dividing fractions: $$3 \div \frac12 = 3 \times \frac21 = 3\times2$$ and we can see that there are 3 wholes with 2 halves in each whole, so there are $3\times 2 = 6$ halves in $3$. How many sixths are in 4? There are 24 sixth-sized pieces in 4. You can multiply the numerator and the denominator by 4, as shown in part B above. But you cannot multiply the numerator by 4 and the denominator by 2. The numerator and the denominator of a fraction must be multiplied by the same nonzero whole number in order to have equivalent fractions. You may be wondering why this is so. Example 4. Multiplying the numerator and the denominator of a fraction by the same nonzero whole number will change that fraction into an equivalent fraction, but it will not change its value. Equivalent fractions may look different, but they have the same value. Let's look at some more examples of Rating Newest Oldest. Best Answer: 1. 2/6 2. you find a common denominator so 2 and 3 are both factors of 6 do 2 times 3 so you get 3/6 plus 2/6 which is 5/6 3. one half is one part of two and on third is one part of three smaller equal parts. Source(s): ashley! · 8 years ago.  1 is the sixth part of 6. 2 is two sixths, and also the third part, of 6. 3 is three sixths, and also half of 6. 4 is four sixths, and also two thirds, of 6.  There are $\frac23 \times 6 = 4 $ sixths in two-thirds. How many $\frac14$’s are in $\frac23$? If the whole is divided into twelfths, four of them represent $\frac13$ and three of them represent $\frac14$ as shown in the picture above. We can connect this to the algorithm for dividing fractions: $$3 \div \frac12 = 3 \times \frac21 = 3\times2$$ and we can see that there are 3 wholes with 2 halves in each whole, so there are $3\times 2 = 6$ halves in $3$. How many sixths are in 4? There are 24 sixth-sized pieces in 4. It takes 4 one-sixth sized pieces to make the two-thirds. Write this as a division problem:$$\frac23 \div \frac16 = 4$$. We can connect this to the algorithm for dividing fractions: $$\frac23 \div \frac16 = \frac23 \times \frac61 $$ and we can see that there $1 \times 6 = 6$ sixths in a whole. We can connect this to the algorithm for dividing fractions: $$3 \div \frac12 = 3 \times \frac21 = 3\times2$$ and we can see that there are 3 wholes with 2 halves in each whole, so there are $3\times 2 = 6$ halves in $3$. How many sixths are in 4? There are 24 sixth-sized pieces in 4. 1.Which is an equivalent form of four-tenths? eight-fourteenths twelve-thirtieths one-seventh two and one-half 2. Which of the following has a solution of 4? 5 times the reciprocal of four-fifths nine divided by four-ninths six-sevenths of four and two-thirds three-fifths times... -11/12 + 3/4= -11/12 + 9/12= -2/12 = -1/6 negative one-sixth****** 6. Solve negative five-ninths equals negative two v minus one-third for v. -5/9 = -2v -(1/3) -5/9 + 1/3= -2v -5/9 + 3/9= -2v -2/9 = -2v (-2/9)(-1/2)= v 1/9= v one-ninth***** 7. In example 6, the fraction given in part a is a proper fraction; whereas the fractions given in parts b and c are improper fractions. Note that the procedure for finding equivalent fractions is the same for both types of fractions. Example 4. Multiplying the numerator and the denominator of a fraction by the same nonzero whole number will change that fraction into an equivalent fraction, but it will not change its value. Equivalent fractions may look different, but they have the same value. Let's look at some more examples of equivalent In example 2, each fraction has a numerator that is equal to its denominator. Each of these fractions is an improper fraction, equal to one whole (1). An improper fraction can also be greater than one whole, as shown in example 3. Example 3. In the improper fraction seven-fourths, the numerator (7) is greater than the denominator (4). In Exercises 1 through 5, click once in an ANSWER BOX and type in your answer; then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR. Note: To write the fraction two-thirds, enter 2/3 into the form. 1. It takes two one-sixths to make a third. Write this as a division problem. $\frac13 \div \frac16 = 2$. We can connect this to the algorithm for dividing fractions: $$\frac13 \div \frac16 = \frac13 \times \frac61$$ and we can see that there are $1 \times 6 = 6$ sixths in a whole. We can connect this to the algorithm for dividing fractions: $$3 \div \frac12 = 3 \times \frac21 = 3\times2$$ and we can see that there are 3 wholes with 2 halves in each whole, so there are $3\times 2 = 6$ halves in $3$. How many sixths are in 4? There are 24 sixth-sized pieces in 4.
https://www.illustrativemathematics.org/content-standards/tasks/692 http://www.mathgoodies.com/lessons/fractions/equivalent.html https://answers.yahoo.com/question/index?qid=20080227152114AAO5bf5 http://themathpage.com/ARITH/Ar_Pr/part1_2.htm https://www.illustrativemathematics.org/content-standards/tasks/692 https://www.illustrativemathematics.org/content-standards/tasks/692 https://answers.yahoo.com/question/index?qid=20130812193647AAGZVD8 http://www.mathgoodies.com/lessons/fractions/equivalent.html http://www.mathgoodies.com/lessons/fractions/classify.html https://www.illustrativemathematics.org/content-standards/tasks/692
is two thirds equivalent to four sixths