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Question

Which of the following is equivalent to 4/5 ?


A

5/4

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B

16/25

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C

16/20

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D

15/25

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Solution

The correct option is C

16/20


Answer: (c) 16/20

4/5 is equivalent = (4 × 4)/(5 × 4)

(4 × 4)/(5 × 4) = 16/20

Standard form of rational number

A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1.

Consider option (a) 5/4

5/4 is in the standard form.

Consider option (b) 16/25

Since 1 is the common factor of 16 and 25, so 16/25 is in standard form.

Consider option (c) 16/20

Divide both numerator and denominator by 4

(16 ÷ 4)/ (20 ÷ 4)

= 4/5

Consider option (d) 15/25

Divide both numerator and denominator by 5

(15 ÷ 5)/ (25 ÷ 5)

= 3/5


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