Question

2 1/5:7 1/5 ratio into simplest form​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Express the ratio 16 : 20 in the simplest form.

Solution:

We write the given ratio as a fraction. i.e., 16/20

Now, divide numerator and denominator of the fraction by 4

(Highest Common Factor of 16 and 20)

(16 ÷ 4)/(20 ÷ 4)

= 4/5

= 4 : 5

Comparison of Ratios:

The process, in which the two quantities having the same units are compared by division, is called the comparison by ratio.

As the ratios can be expressed as fractions, therefore, we can compare the ratios as we compare the fractions.

Example:

Compare 3¹/₂ : 1²/₅

Solution:

3¹/₂ : 1²/₅

= 7/2 : 7/5

Convert them into equivalent ratios.

7/2 and 7/5

= (7 × 5)/(2 × 5) and (7 × 2)/(2 × 2)

= 35/10 and = 14/10

Now, we have 35/10 : 14/10

Therefore, 35/10 > 14/10

So, 3¹/₂ > 1²/₅

i.e., 7 : 2 > 7 : 5