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# Dividing a Fraction by a Fraction

- Formula:

- Note:
- To divide two fractions, get the reciprocal of the second fraction and multiply them.

- Example:

- Solution:

- Note:
- When dividing fraction A by fraction B, first step is to get the reciprocal of fraction B, then multiply fraction A with the reciprocal of fraction B.

- The numerator of the first fraction is 3, and 3= 1 × 3
- The denominator of the reciprocal of second fraction is 9, and 9 = 3 × 3, 1 × 9
- Both of the numerator and denominator has common factors 1, 3.
- Therefore, the greatest common factor (GCF) is 3.
- Dividing the numerator of the first fraction by 3, and
- dividing the denominator of the reciprocal of second fraction by 3,
- the result is 1/3, at this time, the only common factor is 1.

- The denominator of the first fraction is 16, and 16 = 1 × 16, 2 × 8, 4 × 4
- The numerator of the reciprocal of second fraction is 24, and 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6
- Both of numerator and denominator have the common factors 1, 2, 4, 8
- Therefore, the greatest common factor (GCF) is 8.
- Dividing the denominator of the first fraction by 8,
- dividing the numerator of the reciprocal of second fraction by 8,
- the result is 3/2, at this time, the only common factor is 1.

- The result is 1/3 × 3/2
- The denominator of the first fraction is 3
- The numerator of the second fraction is 3
- Therefore, 3 is the common factor
- Divide by 3 on both numerator and denominator

- The final result is 1/2