Math, asked by satvikgaur601, 3 months ago

compare the fraction 4/7 and 12/21​

Answers

Answered by lavairis504qjio
3

Step-by-step explanation:

4/7 already reduced to the lowest terms;

the numerator and denominator have no common prime factors:

4 = 22;

7 is a prime number;

12/21 = (22 × 3)/(3 × 7) = ((22 × 3) ÷ 3)/((3 × 7) ÷ 3) = 4/7

Answered by тσxιcнαsтɛ
3

Answer:

The fractions sorted in ascending order:

4/7 = 4/7

The initial fractions sorted in ascending order:

4/7 = 12/21

Step-by-step explanation:

  1. To compare and sort multiple fractions, they should either have the same denominator or the same numerator

Simplify the operation

Reduce (simplify) the fractions to their lowest terms equivalents:

4/7 is already reduced to the lowest terms.

The numerator and denominator have no common prime factors:

4 = 2²

7 is a prime number

12/21 = (22 × 3)/(3 × 7)

= ((22 × 3) ÷ 3)/((3 × 7) ÷ 3)

= 4/7

The fractions are equal.

This is one of the simplest cases when comparing two fractions

The operation of comparing fractions :

The final answer:

The fractions sorted in ascending order:

4/7 = 4/7

The initial fractions sorted in ascending order:

4/7 = 12/21

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