Question

Express the ratio 75:200 in simplest from.​

Answer 1

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Express the ratio 75:200 in simplest from.

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★Solution:-

We have :

75=3×5² and 200= 2³ × 5²

• H.C.F. of 75 and 200 = 5² = 25.

So, 75:200 =

$\frac{75}{200} = \frac{75 \div 25}{200 \div 25} = \frac{3}{8}$

Hence, 75:200 in simplest from is 3:8.

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Answer 2

Explanation:

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Express the ratio 75:200 in simplest from.

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Find the GCD (or HCF) of numerator and denominator

GCD of 75 and 200 is 25

Divide both the numerator and denominator by the GCD

75 ÷ 25/200 ÷ 25

200 ÷ 25

Reduced fraction: 3/8

Therefore, 75/200 simplified to lowest terms is 3/8.

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