Question

4 2/3+3 3/4-2 5/6-5 1/8

Answer 1

Ответ:

Пошаговое объяснение:

= 4 2/3+ 3 3/4 - 2 5/6+ 5 3/8 - 3 1/3= 4 (2•4)/(3•4) + 3 (3•3)/(4•3) - 2 (5•2)/(6•2)+ 5 3/8 - 3 1/3= 4 8/12+ 3 9/12- 2 10/12 + 5 3/8- 3 1/3= 7 17/12- 2 10/12+ 5 3/8- 3 1/3= 5 7/12+ 5 3/8 - 3 1/3= 5 (7•2)/(12•2)+ 5 (3•3)/(8•3) - 3 (1•8)/(3•8)= 5 14/24+ 5 9/24- 3 8/24= 10 23/24 - 3 8/24= 7 15/24= 7 5/8.

По действиям 4 2/3-(-3 3/4)+(-2 5/6)-(-5 3/8)-3 1/3= 7 5/8

1)) 4 2/3+ 3 3/4= 7+ (2•4)/(3•4)+ (3•3)/(4•3)= 7+ 8/12+ 9/12= 7 17/12= 8 5/12

2)) 8 5/12- 2 5/6= 8 5/12- 2 (5•2)/(6•2)= 7 17/12- 2 10/12= 5 7/12

3)) 5 7/12+ 5 3/8= 5 (7•2)/(12•2)+ 5 (3•3)/(8•3)= 5 14/24+ 5 9/24= 10 23/24

4)) 10 23/24- 3 1/3= 10 23/24- 3 (1•8)/(3•8)=

7+ 23/24- 8/24= 2 15/24= 7 5/8.

Опечатка 4)) =7 15/24= 7 5/8

Answer 2

To solve the expression 4 2/3 + 3 3/4 - 2 5/6 - 5 1/8, we can perform the operations step by step. Let's break it down:

First, let's convert the mixed numbers to improper fractions: 4 2/3 = (4 * 3 + 2) / 3 = 14/3 3 3/4 = (3 * 4 + 3) / 4 = 15/4 2 5/6 = (2 * 6 + 5) / 6 = 17/6 5 1/8 = (5 * 8 + 1) / 8 = 41/8

Now, we can substitute the converted fractions into the expression: 14/3 + 15/4 - 17/6 - 41/8

To add and subtract fractions, we need to find a common denominator. In this case, the common denominator for 3, 4, 6, and 8 is 24.

Converting each fraction to have a denominator of 24: 14/3 = (14/3) * (8/8) = 112/24 15/4 = (15/4) * (6/6) = 90/24 17/6 = (17/6) * (4/4) = 68/24 41/8 = (41/8) * (3/3) = 123/24

Now we can rewrite the expression: 112/24 + 90/24 - 68/24 - 123/24

Combining the fractions: (112 + 90 - 68 - 123) / 24 = 11/24

Therefore, the value of the expression 4 2/3 + 3 3/4 - 2 5/6 - 5 1/8 is 11/24.