What you’ll learn
Divide fractions by fractions.
Key idea
Division by a nonzero fraction multiplies by its reciprocal.
Worked example
Enter the exact value or ordered values in the format requested below.
Compute (1/2) ÷ (1/7). Enter the exact quotient.
- The reciprocal of 1/7 is 7/1.
- (1/2)×(7/1)=7/2=7/2.
Answer: 7/2
Quick Check
Evaluate a worked attempt at divide fractions by fractions, identify the first invalid step, and provide the correction.
A student writes Step 1: keep (1/3) ÷ (2/4). Step 2: multiply (1/3)×(2/4)=1/6. Identify the first invalid step and correct the quotient.