Question

1.Выполните действия:a)2 1/7 * 3 1/9 б)3/7 * 7/9 B) 5/8 * 1 13/15 * 2 2/7

Answer 1

Ответ:

а)

$2 \frac{1}{7} \times 3 \frac{1}{9} = \frac{13}{7} \times \frac{28}{9} = \frac{52}{9} = 5 \frac{7}{9}$

б) 3/7×7/9=1/3

В)

$\frac{5}{8} \times 1 \frac{13}{15} = \frac{5}{8} \times \frac{28}{15} = \frac{28}{24} = 1 \frac{4}{24} = 1 \frac{1}{6}$

Answer 2

a) 2 1/7 * 3 1/9

To multiply mixed numbers, follow these steps:

1. Convert the mixed numbers into improper fractions.
2. Multiply the fractions.
3. If possible, simplify the result.

Step 1: 2 1/7 = 15/7 3 1/9 = 28/9

Step 2: (15/7) * (28/9) = 420/63

Step 3: Simplify the fraction: 420/63 = 20/3

So, 2 1/7 * 3 1/9 = 20/3 or approximately 6.67.

b) 3/7 * 7/9

Multiply the fractions directly:

(3/7) * (7/9) = 21/63

Simplify the fraction: 21/63 = 1/3

So, 3/7 * 7/9 = 1/3.

c) 5/8 * 1 13/15 * 2 2/7

Step 1: 1 13/15 = 28/15 2 2/7 = 16/7

Step 2: (5/8) * (28/15) * (16/7)

Step 3: Multiply the fractions: (5/8) * (28/15) * (16/7) = 160/21

So, 5/8 * 1 13/15 * 2 2/7 = 160/21 or approximately 7.62.