
1) 63/64÷45/56=? 2) 6/35÷18/25=?


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To solve these division problems involving fractions, you can follow these steps:
63/64 ÷ 45/56:
To divide fractions, you can multiply the first fraction by the reciprocal (inverse) of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
So, (63/64) ÷ (45/56) is the same as (63/64) * (56/45).
Now, multiply the numerators and denominators separately:
(63 * 56) / (64 * 45)
Calculate each part:
Numerator: 63 * 56 = 3528 Denominator: 64 * 45 = 2880
Now, simplify the fraction if possible. You can divide both the numerator and denominator by their greatest common divisor, which is 48.
(3528 ÷ 48) / (2880 ÷ 48) = 73/60
So, 63/64 ÷ 45/56 = 73/60.
6/35 ÷ 18/25:
Similarly, to divide fractions, multiply the first fraction by the reciprocal of the second fraction.
(6/35) ÷ (18/25) is the same as (6/35) * (25/18).
Now, multiply the numerators and denominators separately:
(6 * 25) / (35 * 18)
Calculate each part:
Numerator: 6 * 25 = 150 Denominator: 35 * 18 = 630
Now, simplify the fraction if possible. You can divide both the numerator and denominator by their greatest common divisor, which is 10.
(150 ÷ 10) / (630 ÷ 10) = 15/63
Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.
(15 ÷ 3) / (63 ÷ 3) = 5/21
So, 6/35 ÷ 18/25 = 5/21.


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