Question

А) 4 5/12×6/53= б) 1 1/6 ×1 5/7= в) 2 5/11×1 19/36= г) 4 1/5 × 2 1/7=​

Answer 1

А) 1/2
б) 2
в) 3 3/4
г) 9

Answer 2

To solve these multiplication problems involving mixed numbers, we'll convert them into improper fractions and then multiply them. Here are the solutions:

a) 4 5/12 × 6/53:

First, convert the mixed number 4 5/12 into an improper fraction: 4 5/12 = (4 × 12 + 5) / 12 = 53/12

Multiply the two fractions: (53/12) × (6/53) = (53 × 6) / (12 × 53) = 318/636

Simplify the fraction if possible: 318/636 = 1/2

Therefore, 4 5/12 × 6/53 equals 1/2.

b) 1 1/6 × 1 5/7:

Convert the mixed numbers into improper fractions: 1 1/6 = (1 × 6 + 1) / 6 = 7/6 1 5/7 = (1 × 7 + 5) / 7 = 12/7

Multiply the two fractions: (7/6) × (12/7) = (7 × 12) / (6 × 7) = 84/42

Simplify the fraction if possible: 84/42 = 2

Therefore, 1 1/6 × 1 5/7 equals 2.

c) 2 5/11 × 1 19/36:

Convert the mixed numbers into improper fractions: 2 5/11 = (2 × 11 + 5) / 11 = 27/11 1 19/36 = (1 × 36 + 19) / 36 = 55/36

Multiply the two fractions: (27/11) × (55/36) = (27 × 55) / (11 × 36) = 1485/396

Simplify the fraction if possible: 1485/396 = 165/44 = 3 21/44

Therefore, 2 5/11 × 1 19/36 equals 3 21/44.

d) 4 1/5 × 2 1/7:

Convert the mixed numbers into improper fractions: 4 1/5 = (4 × 5 + 1) / 5 = 21/5 2 1/7 = (2 × 7 + 1) / 7 = 15/7

Multiply the two fractions: (21/5) × (15/7) = (21 × 15) / (5 × 7) = 315/35

Simplify the fraction if possible: 315/35 = 9

Therefore, 4 1/5 × 2 1/7 equals 9.