How do you simplify #6/7 div4/5#?

1 Answer
Mar 23, 2018

Answer:

#6/7-:4/5=15/14=1 1/14#

Explanation:

Simplify:

#6/7-:4/5#

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

#6/7xx5/4#

#(6xx5)/(7xx4)#

Simplify.

#30/28#

We can reduce the fraction by dividing the numerator and denominator by #2#.

#(30-:2)/(28-:2)#

Simplify.

#15/14#

#15/14# is an improper fraction, which can be converted into a mixed number #(color(red)(a) color(blue)(b)/color(green)(c))# by dividing #15# by #14# using long division to get a whole number quotient and a remainder.

#15-:14="1 remainder 1"#

The whole number quotient becomes the whole number of the mixed number, the remainder becomes the numerator, and the divisor #(14)# remains the denominator.

#15/14=color(red)(1) color(blue)(1)/color(green)(14#