Question

8+24/1-(2 6/5+3 8/7)​

Answer 1

Ответ:

27 18/35

Пошаговое объяснение:

1. 8+24/1=32

2.32-(2 6/5+3 8/7)=32-(16/5+29/7)( даём общий знаменатель)=32-(112+145/35)(35 это общий знаменатель)=32-157/35=1120-157/35=963/35=27 18/35

Answer 2

To solve the expression 8 + 24/1 - (2 6/5 + 3 8/7), we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, let's simplify the expression within the parentheses:

2 6/5 + 3 8/7 = 2 + 6/5 + 3 + 8/7

Next, we add the whole numbers separately and add the fractions separately:

2 + 3 = 5

6/5 + 8/7 = (6 * 7)/(5 * 7) + (8 * 5)/(7 * 5) = 42/35 + 40/35 = (42 + 40)/35 = 82/35

Now, the expression becomes:

8 + 24/1 - (2 6/5 + 3 8/7) = 8 + 24 - (5 + 82/35)

Next, we perform the addition and subtraction operations:

= 8 + 24 - 5 - 82/35

Now, let's find a common denominator for the subtraction of the fraction:

82/35 = (82 * 1)/(35 * 1) = 82/35

Therefore, the expression becomes:

= 8 + 24 - 5 - 82/35

To subtract the fraction, we need a common denominator, which is 35:

= (8 * 35)/(1 * 35) + (24 * 35)/(1 * 35) - (5 * 35)/(1 * 35) - 82/35

= 280/35 + 840/35 - 175/35 - 82/35

Now, we can combine the fractions:

= (280 + 840 - 175 - 82)/35

= 863/35

Therefore, the simplified value of the expression 8 + 24/1 - (2 6/5 + 3 8/7) is 863/35.