Question

СОКратите дроби : а) 7/28 б)36/81 в)6/35х25/8 г)2/6х9/8х12/3

Answer 1

Ответ:

1) 1/4 2) 4/9 3) 15/28 4)3/2

Answer 2

Ответ:

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Answer 3

а) 7/28: To simplify the fraction 7/28, we need to find the greatest common divisor (GCD) of the numerator and denominator, and then divide both the numerator and denominator by the GCD.

The GCD of 7 and 28 is 7, so we divide both the numerator and denominator by 7: 7 ÷ 7 / 28 ÷ 7 = 1/4

Therefore, the simplified form of 7/28 is 1/4.

б) 36/81: To simplify the fraction 36/81, we need to find the GCD of the numerator and denominator and then divide both by the GCD.

The GCD of 36 and 81 is 9, so we divide both the numerator and denominator by 9: 36 ÷ 9 / 81 ÷ 9 = 4/9

Therefore, the simplified form of 36/81 is 4/9.

в) 6/35 × 25/8: To simplify the multiplication of fractions, we multiply the numerators together and the denominators together.

(6 × 25) / (35 × 8) = 150 / 280

To further simplify this fraction, we find the GCD of the numerator and denominator and divide both by the GCD.

The GCD of 150 and 280 is 10, so we divide both the numerator and denominator by 10: 150 ÷ 10 / 280 ÷ 10 = 15/28

Therefore, the simplified form of 6/35 × 25/8 is 15/28.

г) 2/6 × 9/8 × 12/3: To simplify the multiplication of fractions, we multiply the numerators together and the denominators together.

(2 × 9 × 12) / (6 × 8 × 3) = 216 / 144

To further simplify this fraction, we find the GCD of the numerator and denominator and divide both by the GCD.

The GCD of 216 and 144 is 72, so we divide both the numerator and denominator by 72: 216 ÷ 72 / 144 ÷ 72 = 3/2

Therefore, the simplified form of 2/6 × 9/8 × 12/3 is 3/2.