Question

15 1/2 - (6 1/4 + 2 3/8)30 баллов

Answer 1

Пошаговое объяснение на фото

Answer 2

To solve the expression, first, we need to perform the operations inside the parentheses, then subtract the result from 15 1/2. Let's break it down step by step:

Step 1: Perform the addition inside the parentheses. 6 1/4 + 2 3/8

To add these fractions, we need to find a common denominator. The common denominator for 4 and 8 is 8.

6 1/4 = (6 * 8 + 1) / 8 = 49 / 8 2 3/8 = (2 * 8 + 3) / 8 = 19 / 8

Now, we can add them: (49 / 8) + (19 / 8) = (49 + 19) / 8 = 68 / 8 = 8 1/2

Step 2: Multiply the result from step 1 by 30. 8 1/2 * 30

To multiply a whole number with a fraction, first, convert the whole number to an improper fraction:

8 = 8/1

Now, multiply the fractions: (8/1) * (1/2) = 8/2 = 4

Step 3: Subtract the result from step 2 from 15 1/2. 15 1/2 - 4

To subtract fractions, find a common denominator: 15 1/2 = (15 * 2 + 1) / 2 = 31 / 2

Now, subtract: (31 / 2) - 4 = (31 - 8) / 2 = 23 / 2 = 11 1/2

The result of the expression is 11 1/2 or 11.5.

So, you earn 11.5 points for this expression.