Dividing Fractions: 1 1/5 ÷ 1/4
Dividing fractions can seem tricky, but it's actually quite simple once you understand the process. Let's break down how to solve 1 1/5 ÷ 1/4 and express the answer as a fraction.
Step 1: Convert the mixed number to an improper fraction.
- 1 1/5 is the same as (1 x 5 + 1)/5 = 6/5
Step 2: Remember the rule for dividing fractions.
- Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 1/4 is 4/1.
Step 3: Multiply the fractions.
- (6/5) ÷ (1/4) = (6/5) x (4/1)
Step 4: Simplify the product.
- (6/5) x (4/1) = (6 x 4) / (5 x 1) = 24/5
Step 5: Convert the improper fraction to a mixed number (optional).
- 24/5 is the same as 4 4/5
Therefore, 1 1/5 ÷ 1/4 is equal to 24/5 or 4 4/5.