Question

|1 1/6|×|1 5/7|= ; |3/8|×|4 4/15|=​

Answer 1

Ответ: 1) 55/14

2) 11/10

Answer 2

To simplify the given expressions involving mixed numbers and fractions, follow these steps:

1. Convert mixed numbers to improper fractions (if any).
2. Perform the multiplication of the fractions.
3. Simplify the resulting fraction (if possible).

Let's solve the given expressions step by step:

1. |1 1/6| × |1 5/7|: Step 1: Convert mixed numbers to improper fractions. 1 1/6 = (6 * 1 + 1)/6 = 7/6 1 5/7 = (7 * 1 + 5)/7 = 12/7

Step 2: Multiply the fractions. (7/6) × (12/7) = (7 * 12)/(6 * 7) = 84/42

Step 3: Simplify the fraction. 84/42 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 6. 84 ÷ 6 = 14 42 ÷ 6 = 7

So, the simplified result is: 14/7 = 2

|1 1/6| × |1 5/7| = 2

2. |3/8| × |4 4/15|: Step 1: Convert mixed numbers to improper fractions. 4 4/15 = (15 * 4 + 4)/15 = 64/15

Step 2: Multiply the fractions. (3/8) × (64/15) = (3 * 64)/(8 * 15) = 192/120

Step 3: Simplify the fraction. 192/120 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 24. 192 ÷ 24 = 8 120 ÷ 24 = 5

So, the simplified result is: 8/5

|3/8| × |4 4/15| = 8/5

Final results: |1 1/6| × |1 5/7| = 2 |3/8| × |4 4/15| = 8/5