Answer:
B. 2¼
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
912×31=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
9×312×1=2712
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 27 and 12 using
GCF(27,12) = 3
27÷312÷3=94
The fraction
94
is the same as
9÷4
Convert to a mixed number using
long division for 9 ÷ 4 = 2R1, so
94=214
Therefore:
912÷13=214
Solution by Formulas
Apply the fractions formula for division, to
912÷13
and solve
9×312×1
=2712
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(27,12) = 3
27÷312÷3=94
Convert to a mixed number using
long division for 9 ÷ 4 = 2R1, so
94=214
Therefore:
912÷13=214
