Question

9/5+12/35•1_5/16+5:3_9/22​

Answer 1

Ответ:

3 43/60

Пошаговое объяснение:

9/5 + 12/35 * 1 5/16 + 5 : 3 9/22​ = 9/5 + 9/20 + 1 7/15 = 3 43/60

По действиям:

1. 12/35 * 1 5/16 = 12/35 * 21/16 = 9/20

2. 9/5 + 9/20 = 36/20 + 9/20 = 45/20 = 2 1/4

3. 5 : 3 9/22 = 5 * 22/75 = 22/15 = 1 7/15

4. 2 1/4 + 1 7/15 = 9/4 + 22/15 = 135/60 + 88/60 = 223/60 = 3 43/60

Answer 2

To calculate this expression, you should follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) and simplify from left to right. Let's break down the expression step by step:

1. First, deal with the fraction addition and subtraction: 9/5 + 12/35 - 5/3 + 9/22

2. Find a common denominator for these fractions, which is 30:

   (9/5) * (6/6) + (12/35) * (30/30) - (5/3) * (10/10) + (9/22) * (15/15)

   This step is done to make the denominators the same for all fractions.

3. Now, the expression becomes:

   (54/30) + (360/1050) - (150/30) + (135/330)

4. Simplify each fraction:

   (9/5) + (4/7) - (5/3) + (9/22)

5. Now, we can perform addition and subtraction from left to right:

   (9/5) + (4/7) = (63/35) + (20/35) = 83/35 (83/35) - (5/3) = (249/105) - (175/105) = 74/105 (74/105) + (9/22) = (88/105) + (45/105) = 133/105

So, the final result is 133/105.