Question

Simplify ¾ : ⅚ and send a picture of your solution​

Answer 1

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Hope this will help you

Step-by-step explanation:

$\frac{3}{4} \: \: : \: \frac{5}{6}$

Now cross multiply it.

By cross multiplying.... 4 will be multiplied by 5.....

and 6 will be multiplied by 3

Therefore

$(5 \times 4) \: \: : \: (6 \times 3)$

$20 \: :18$

20:18

$\frac{20}{18} = \frac{10}{9}$

Hence 10 : 9 is your answer.

Answer 2

$\displaystyle \sf{ \frac{3}{4} : \frac{5}{6} = 9 : 10 }$

Given : $\displaystyle \sf{ \frac{3}{4} : \frac{5}{6}}$

To find : Simplify the ratio

Solution :

Here the given ratio is

$\displaystyle \sf{ \frac{3}{4} : \frac{5}{6}}$

Denominators of two fractions are 4 and 6 respectively

4 = 2 × 2

6 = 2 × 3

LCM of the denominators = 2 × 2 × 3 = 12

Thus we get

$\displaystyle \sf{ \frac{3}{4} : \frac{5}{6}}$

$\displaystyle \sf{ = \bigg(12 \times \frac{3}{4}\bigg) : \bigg(12 \times \frac{5}{6}\bigg)}$

$\displaystyle \sf{ = \bigg(3 \times 3\bigg) : \bigg(2 \times 5\bigg)}$

$\displaystyle \sf{ = 9 : 10}$

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