Question

8/5:16/25 -7 1/4+2 5/8×10/7​

Answer 1

Ответ:

Пошаговое объяснение:

8/5:16/25- 7 1/4+2 5/8*10/7=-1

1) 8/5:16/25=8/5*25/16= 5/2

2) 2 5/8 * 10/7=21/8*10/7=15/4

3) 5/2- 7 1/4=5/2-29/4=((5*2)-29)/4=-19/4

4) -19/4+15/4=-4/4=-1

Answer 2

To solve the given expression, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition, and Subtraction):

Step 1: Convert mixed numbers to improper fractions. Step 2: Perform multiplication and division from left to right. Step 3: Perform addition and subtraction from left to right.

Let's start:

1. 8/5:16/25 - 7 1/4 + 2 5/8 × 10/7

Step 1: Convert mixed numbers to improper fractions: 8/5:16/25 - 29/4 + 21/8 × 10/7

Step 2: Perform multiplication and division from left to right: 8/5:16/25 - 29/4 + 21/8 × 10/7 = (8/5 ÷ 16/25) - 29/4 + (21/8 × 10/7) = (8/5 × 25/16) - 29/4 + (21/8 × 10/7) = 5/2 - 29/4 + 15/8

Step 3: Perform addition and subtraction from left to right: 5/2 - 29/4 + 15/8 = (20/8) - 29/4 + 15/8 = (20/8) + (15/8) - 29/4 = 35/8 - 29/4

Now, we need to find a common denominator for the fractions: The common denominator for 8 and 4 is 8.

35/8 - 29/4 = (35/8) - (58/8) = (35 - 58)/8 = -23/8

So, the final answer is -23/8.