How do you divide #\frac { 7} { 12} \div \frac { 1} { 3}#?

1 Answer
Dec 16, 2016

#7/4#

Explanation:

The method for #color(blue)"division of fractions"# is.

#• " Leave the first fraction"#

#• " Change division to multiplication"#

#• " Invert (turn upside down ) the second fraction"#

# • " Cancel common factors if possible"#

#rArr7/12÷1/3#

#=7/12xx3/1larr" multiply and invert"#

#=7/cancel(12)^4xxcancel(3)^1/1larr" cancelling"#

#=(7xx1)/(4xx1)=7/4larr" in simplest form"#

A fraction is in #color(blue)"simplest form" # when no other factor but 1 will divide into the numerator/denominator.