Question

Выполните действия (1целая3/7+4целых5/21-5целых1/4)*1целая5/7+8целых1/4:2целых5/8

Answer 1

(1 3/7+4 5/21-5 1/4)×1 5/7+8 1/4:2 5/8

1) 1 3/7+4 5/21=5+(9/21+5/21)=5 2/3=17/3
2) 17/3×1 5/7=17/3×12/7=68/7
3) 8 1/4:2 5/8=33/4×8/21=22/7
4)68/7+22/7=90/7=12 6/7

Answer 2

Calculating the Expression

To calculate the given expression, we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

The given expression is: (1 3/7 + 4 5/21 - 5 1/4) * 1 5/7 + 8 1/4 ÷ 2 5/8

Let's break it down step by step.

1. Convert Mixed Numbers to Improper Fractions - 1 3/7 = (7*1 + 3)/7 = 10/7 - 4 5/21 = (21*4 + 5)/21 = 89/21 - 5 1/4 = (4*5 + 1)/4 = 21/4 - 1 5/7 = (7*1 + 5)/7 = 12/7 - 8 1/4 = (4*8 + 1)/4 = 33/4 - 2 5/8 = (8*2 + 5)/8 = 21/8

So, the expression becomes: (10/7 + 89/21 - 21/4) * 12/7 + 33/4 ÷ 21/8

2. Perform Operations - Add: 10/7 + 89/21 - 21/4 = 30/21 + 89/21 - 110/21 = 9/21 - Multiply: 9/21 * 12/7 = 108/147 - Divide: 33/4 ÷ 21/8 = 33/4 * 8/21 = 264/84 = 11/3

3. Final Calculation - (108/147) + (11/3) = 108/147 + 11/3

Final Result

The final result of the given expression is 108/147 + 11/3.