Question

Check whether the given ratios are equal
5:7 and 35:49

Answer 1

Explanation:

1st ratio=

5:7

`(5)/(7)`

2nd ratio =

35:49

`(35)/(49) \\ (7 * 5)/(7 * 7) \\ (7)/(7) * (5)/(7) \\ 1 * (5)/(7) \\ (5)/(7)`

Hence, the ratios are equal

Answer 2

Step-1: Convert the ratios into fractions.

• 5:7 = 35:49
• 5/7 = 35/49

Step-2: Simplify both sides of the fraction.

~5/7 cannot be simplified because the numerator and denominator are prime number. However, 35/49 can be simplified by dividing 7 to the numerator and the denominator.

• 35/49 ⇒ 7 x 5/7 x 7 ⇒ 5/7

⇒ 5/7 = 35/49

⇒ 5/7 = 5/7 (Yes. They are equal)