Question

1) 13/20+73/20 2) 3 9/14х23 1/3 3) (30-18 12/25):2,4 4) (1/2+38/15):13/60 5) 4 2/9-47/9 6) 2 7/10:(-1/70) 7) 9 3/5(1 3/4-3 5/16) 8) 12 6/7(2 1/3-7/10) 9) 1 7/15:(-11/75) 10) 1 2/7х7

Answer 1

Ответ:

Ответ на фото

Пошаговое объяснение:

Answer 2

Let's solve each of the given expressions step by step:

1. 13/20 + 73/20 To add these fractions, we need a common denominator, which is 20 in this case. (13 + 73)/20 = 86/20 Simplifying the fraction, we get 4 3/10 as the result.

2. 3 9/14 × 23 1/3 To multiply mixed numbers, we first convert them into improper fractions. 3 9/14 = (3 × 14 + 9)/14 = 51/14 23 1/3 = (23 × 3 + 1)/3 = 70/3 Now, we multiply the fractions: (51/14) × (70/3) Multiplying the numerators and denominators, we get (51 × 70)/(14 × 3) = 3570/42 Simplifying the fraction, we get 85 as the result.

3. (30 - 18 12/25) ÷ 2.4 First, let's convert the mixed number to an improper fraction: 18 12/25 = (18 × 25 + 12)/25 = 462/25 Now, we subtract: 30 - 462/25 We need a common denominator, which is 25. (30 × 25)/25 - 462/25 = (750 - 462)/25 = 288/25 Now, we divide: (288/25) ÷ 2.4 Dividing the numerator by the denominator, we get (288/25) ÷ (12/5) = (288/25) × (5/12) Multiplying the numerators and denominators, we get (288 × 5)/(25 × 12) = 1440/300 Simplifying the fraction, we get 12/5 as the result.

4. (1/2 + 38/15) ÷ (13/60) First, let's add the fractions: (1/2) + (38/15) We need a common denominator, which is 30 in this case. (1 × 15)/30 + (38 × 2)/30 = 15/30 + 76/30 = 91/30 Now, we divide: (91/30) ÷ (13/60) Dividing is the same as multiplying by the reciprocal, so (91/30) ÷ (13/60) = (91/30) × (60/13) Multiplying the numerators and denominators, we get (91 × 60)/(30 × 13) = 5460/390 Simplifying the fraction, we get 14 as the result.

5. 4 2/9 - 47/9 To subtract these fractions, we need a common denominator, which is 9 in this case. 4 2/9 = (4 × 9 + 2)/9 = 38/9 Now, we subtract: 38/9 - 47/9 Subtracting the numerators, we get (38 - 47)/9 = -9/9 Simplifying the fraction, we get -1 as the result.

6. 2 7/10 ÷ (-1/70) To divide by a fraction, we multiply by its reciprocal. (-1/70) reciprocal is (-70/1). So, (2