Question

The valueof (14/15) of (25/28) is

Answer 1

Step-by-step explanation:

(14/15) x (25/28)

= (1/3) x (5/2)

= 5/6

5/6 is the answer

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Answer 2

Fraction: 14/15 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

14 = 2 × 7;

15 = 3 × 5;

Fraction: 25/28 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

25 = 5²;

28 = 2² × 7;

Multiply the numerators and denominators of the fractions separately:

Factor all the numbers in order to easily reduce (simplify) the end fraction.

14/15 × 25/28

(14 × 25) / (15 × 28)

(2 × 7 × 5²) / (3 × 5 × 22 × 7)

(2 × 5² × 7) / (2² × 3 × 5 × 7)

(2 × 5² × 7) / (2² × 3 × 5 × 7)

((2 × 5² × 7) ÷ (2 × 5 × 7)) / ((2² × 3 × 5 × 7) ÷ (2 × 5 × 7))

(2 ÷ 2 × 52 ÷ 5 × 7 ÷ 7)/(2² ÷ 2 × 3 × 5 ÷ 5 × 7 ÷ 7)

(1 × 5(2 - 1) × 1)/(2(2 - 1) × 3 × 1 × 1)

(1 × 51 × 1)/(2 × 3 × 1 × 1)

(1 × 5 × 1)/(2 × 3 × 1 × 1)

5/(2 × 3)

5/6

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