Question

1) 3/4 * 5/12; 2) 1 целых 5/7 * 6 целых 1/8; 3) 6/17 * 51​

Answer 1

Ответ:

1) 5/16

2) 10.5

3) 18

Answer 2

1. To multiply fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

(3/4) * (5/12) = (3 * 5) / (4 * 12) = 15/48

You can simplify this fraction by finding the greatest common divisor (GCD) of 15 and 48, which is 3. Divide both the numerator and denominator by 3:

(15/3) / (48/3) = 5/16

So, 3/4 * 5/12 = 5/16.

2. To multiply mixed numbers, first convert them to improper fractions, then multiply:

1 целых 5/7 = (7 * 1 + 5)/7 = 12/7 6 целых 1/8 = (8 * 6 + 1)/8 = 49/8

Now, multiply these improper fractions:

(12/7) * (49/8)

To simplify, you can find common factors between the numerators and denominators. In this case, there are no common factors other than 1:

(12/7) * (49/8) = (12 * 49) / (7 * 8) = 588/56

You can further simplify this fraction by finding the GCD of 588 and 56, which is 28. Divide both the numerator and denominator by 28:

(588/28) / (56/28) = 21/2

So, 1 целых 5/7 * 6 целых 1/8 = 21/2 or 10.5.

3. To multiply fractions:

(6/17) * 51

Simply multiply the numerators together:

(6 * 51) / 17 = 306/17

This is the result: 6/17 * 51 = 306/17.