Question

express the fractions 2/3,3/4 and 5/6 as equivalent with denominator of 12

Answer 1

Answer:

2/3= 8/12

3/4=9/12

5/6=10/12

Step-by-step explanation:

Answer 2

For the given fractions 2/3,3/4 and 5/6, their respective equivalents with denominator of 12 are $\frac{8}{12}$ , $\frac{9}{12}$ and $\frac{10}{12}$

From the question,

The given fractions are 2/3, 3/4 and 5/6

To express the given fraction as equivalent with denominator of 12,

For each fraction, we will determine the quotient, when 12 is divided by the denominator the fraction. Then, we will multiply both the numerator and denominator by the calculated quotient.

• For  $\frac{2}{3}$

The denominator is 3

12 ÷ 3 = 4

Quotient = 4

Then, the equivalent of the fraction is

$\frac{2\times 4}{3\times 4}$

= $\frac{8}{12}$

• For $\frac{3}{4}$

The denominator is 4

12 ÷ 4 = 3

Quotient = 3

Then, the equivalent of the fraction is

$\frac{3\times 3}{4\times 3}$

= $\frac{9}{12}$

• For $\frac{5}{6}$

The denominator is 6

12 ÷ 6 = 2

Quotient = 2

Then, the equivalent of the fraction is

$\frac{5\times 2}{6\times 2}$

= $\frac{10}{12}$

Hence, for the given fractions 2/3,3/4 and 5/6, their respective equivalents with denominator of 12 are $\frac{8}{12}$ , $\frac{9}{12}$ and $\frac{10}{12}$

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