1 1/2 divided by 5 1/7
To divide 1 1/2 by 5 1/7, we need to follow the rules of dividing mixed numbers.
Step 1: Convert to Improper Fractions
First, we need to convert both numbers to improper fractions:
- 1 1/2 = 3/2
- 5 1/7 = (5 * 7 + 1)/7 = 36/7
Step 2: Divide the Fractions
Now, we can divide the fractions:
(3/2) ÷ (36/7) = (3/2) × (7/36)
Step 3: Simplify the Result
To simplify the result, we need to find the greatest common divisor (GCD) of 3 and 36, which is 3. So, we can divide both numerator and denominator by 3:
(3/2) × (7/36) = (1/2) × (7/12) = 7/24
Result
So, 1 1/2 divided by 5 1/7 is equal to 7/24.