Question 370014

{{{(-7/24)/(-21/40)}}} Start with the given expression



In order to divide these fractions, first we need to flip the second fraction {{{-21/40}}} to get {{{40 / -21}}}.


Now multiply the first fraction {{{-7/24}}} by the second fraction {{{40 / -21}}}


{{{(-7/24)(40 / -21)}}}


Now simply multiply the numerators and denominators separately like this:


{{{(-7*40)/(24*-21)}}} Multiply the numerators -7 and 40. Place them as the numerator. Multiply the denominators 24 and -21. Place them as the denominator


{{{-280/-504}}} Now multiply



So


{{{(-7/24)/(-21/40)=(-280)/(-504)}}}




If want to reduce the fraction, {{{(-280)/(-504)}}} reduces to {{{5 / 9}}} (note: click <a href=http://www.algebra.com/algebra/homework/NumericFractions/reduce-fraction.solver>here</a> if you need help with reducing fractions)



So {{{(-7/24)/(-21/40)=5/9}}}