Reciprocals of fractions
The reciprocal of a non-zero number multiplies with it to make 1.
- The reciprocal of a non-zero number multiplies with it to make 1.
- For a non-zero fraction, exchange the numerator and denominator. Keep any negative sign.
- Convert a mixed number to an improper fraction before finding its reciprocal. Zero has no reciprocal.
Example 1
Find the reciprocal.
Example 2
Find the reciprocal.
Remember
Use the worked steps to check your method, not just the final answer.
Your turn
Question 1 Write the number as one fraction. Exchange numerator and denominator.
Find the reciprocal.
Check answer
Check:
Question 2 Write the number as one fraction. Exchange numerator and denominator.
Find the reciprocal.
Check answer
Check:
Question 3 Write the number as one fraction. Exchange numerator and denominator.
Find the reciprocal.
Check answer
Check:
Question 4 Write the number as one fraction. Exchange numerator and denominator.
Find the reciprocal.
Check answer
Check:
Question 5 Write the number as one fraction. Exchange numerator and denominator.
Find the reciprocal.
Check answer
Check:
Find the reciprocal.
Check:
Find the reciprocal.
Check:
Find the reciprocal.
Check:
Find the reciprocal.
Check:
Find the reciprocal.
Check: