Question

5 3/8×1 1/2-1 1/2 × 5 1/8

Answer 1

Общий множитель 1 1/2 выносим за скобки:

= 1 1/2 · (5 3/8 - 5 1/8) = 3/2 · 2/8 = 3/8

Ответ: 3/8.

Answer 2

To solve the expression, let's break it down step by step:

Step 1: Convert mixed numbers to improper fractions. 5 3/8 = (8 × 5 + 3) / 8 = 43/8 1 1/2 = (2 × 1 + 1) / 2 = 3/2 1 1/2 = (2 × 1 + 1) / 2 = 3/2 5 1/8 = (8 × 5 + 1) / 8 = 41/8

Now the expression becomes:

(43/8) × (3/2) - (3/2) × (41/8)

Step 2: Perform the multiplication. (43/8) × (3/2) = (43 × 3) / (8 × 2) = 129/16 (3/2) × (41/8) = (3 × 41) / (2 × 8) = 123/16

Now the expression becomes:

(129/16) - (123/16)

Step 3: Perform the subtraction. (129/16) - (123/16) = (129 - 123) / 16 = 6/16

Step 4: Simplify the fraction. 6/16 = 3/8

Therefore, the result of the expression 5 3/8 × 1 1/2 - 1 1/2 × 5 1/8 is 3/8.