Problem
Divide the fractions: 3/4 ÷ 2/5
📝Step-by-Step Solution
1
Keep the first fraction
Write the first fraction as it is: 3/4
Keep: 3/4
2
Change division to multiplication
Change the ÷ sign to a × sign
Change: ÷ becomes ×
3
Flip the second fraction (reciprocal)
Flip 2/5 to get 5/2. This is called the reciprocal.
Flip: 2/5 becomes 5/2
4
Rewrite the problem
Now we have: 3/4 × 5/2
3/4 ÷ 2/5 = 3/4 × 5/2
5
Multiply the fractions
Multiply numerators: 3 × 5 = 15. Multiply denominators: 4 × 2 = 8.
3/4 × 5/2 = 15/8
6
Convert to mixed number (optional)
15 ÷ 8 = 1 remainder 7, so 15/8 = 1 7/8
15/8 = 1 7/8
✅Final Answer
15/8 or 1 7/8
To divide fractions, use "Keep-Change-Flip" (also called "multiply by the reciprocal"): Keep the first fraction, Change ÷ to ×, Flip the second fraction. Then multiply normally. This works because dividing by a number is the same as multiplying by its reciprocal.
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