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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