How do you divide #6\frac { 4} { 7} \div 3\frac { 3} { 5} #?

1 Answer
Meave60
Mar 5, 2017

The answer is #115/63# or #1 52/63#.
See the explanation for how to divide the fractions given in the question.

Explanation:

Divide:

#6 4/7-:3 3/5#

Convert each mixed fraction to an improper fraction. Multiply the denominator by the whole number and add the numerator, and place the total over the denominator.

#(7xx6+4)/7-:(5xx3+3)/5#

Simplify.

#46/7-:18/5#

When dividing by a fraction, invert it, and multiply the numerators and denominators across.

#46/7xx5/18=230/126#

Simplify.

#(230-:2)/(126-:2)=#

#115/63#

You can convert the improper fraction to a mixed number. Divide the numerator by the denominator, making the quotient the whole number part and the remainder goes over the denominator.

#115-:63=1 R 52#

#1 52/63#

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