Question

Вычислите разности: 1) 5-2/5; 2) 6-2 2/3; 3) 8-4 5/8; 4) 7-5/12

Answer 1

1) 5-2/5=4 5/5-2/5=4 3/5
2) 6-2 2/3=5 3/3-2 2/3=3 1/3
3) 8-4 5/8=7 8/8-4 5/8=3 3/8
4)7-5/12=6 12/12-5/12=6 7/12

Answer 2

1. 5 - 2/5 = 4 3/5 To subtract a fraction from a whole number, we can convert the whole number to a fraction with a denominator of 1. So 5 can be written as 5/1. Then we can find a common denominator of 5 and subtract the fractions: 5/1 - 2/5 = (25/5) / 1 - 2/5 = 25/5 - 2/5 = (25-2) / 5 = 23/5 Then we can simplify this mixed number: 23/5 = 4 3/5

2. 6 - 2 2/3 = 3 1/3 We can convert the mixed number to an improper fraction: 2 2/3 = (23 + 2) / 3 = 8/3 Then we can subtract the fractions and simplify the result: 6 - 8/3 = (63)/3 - 8/3 = 18/3 - 8/3 = 10/3 10/3 = 3 1/3

3. 8 - 4 5/8 = 3 3/8 We can convert the mixed number to an improper fraction: 4 5/8 = (48 + 5) / 8 = 37/8 Then we can subtract the fractions and simplify the result: 8 - 37/8 = (88)/8 - 37/8 = 64/8 - 37/8 = 27/8 27/8 = 3 3/8

4. 7 - 5/12 = 6 7/12 We can convert the whole number to a fraction with a denominator of 1: 7 = 7/1 Then we can find a common denominator of 12 and subtract the fractions: 7/1 - 5/12 = (84/12) / 1 - 5/12 = 84/12 - 5/12 = (84-5) / 12 = 79/12 Then we can simplify this mixed number: 79/12 = 6 7/12