Question

14/39 : 21/52 =, 4 целых 1/11 : 2 целых 19/22=, 18 : 9/14 =

Answer 1

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Answer 2

To solve the given expressions, let's take them one by one:

1. 14/39 : 21/52 To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. 14/39 ÷ 21/52 = 14/39 * 52/21

Now, we can simplify the fraction: 14/39 * 52/21 = (14 * 52) / (39 * 21) = 728 / 819

To reduce the fraction to its simplest form, we can divide both the numerator and the denominator by their greatest common divisor (GCD): GCD(728, 819) = 91 728 / 819 = 8 / 9

So, 14/39 : 21/52 = 8/9.

2. 4 целых 1/11 : 2 целых 19/22 To divide mixed numbers, we first convert them into improper fractions and then perform the division.

4 целых 1/11 = (4 * 11 + 1)/11 = 45/11 2 целых 19/22 = (2 * 22 + 19)/22 = 63/22

Now, divide the fractions: (45/11) ÷ (63/22) = 45/11 * 22/63

Simplify the fraction: (45 * 22) / (11 * 63) = 990 / 693

Reduce the fraction: GCD(990, 693) = 99 990 / 693 = 10 / 7

So, 4 целых 1/11 : 2 целых 19/22 = 10/7.

3. 18 : 9/14 To divide a whole number by a fraction, we multiply the whole number by the reciprocal of the fraction.

9/14 reciprocal = 14/9

Now, perform the division: 18 ÷ (9/14) = 18 * (14/9)

Simplify the fraction: 18 * 14 / 9 = 252 / 9

Reduce the fraction: GCD(252, 9) = 9 252 / 9 = 28

So, 18 : 9/14 = 28.