How do you evaluate #3/5 \div 4/7#?

2 Answers
Shantelle
Apr 14, 2018

#21/20#

Explanation:

#3/5 -: 4/7#

Dividing by a number is the same thing as multiplying it by its reciprocal, or #1# over the number.

Therefore, this expression can be rewritten as #3/5 * 7/4#.

Now, we can simplify this:
#21/20#

Hope this helps!

Jim G.
Apr 14, 2018

#21/20#

Explanation:

#"to evaluate division of fractions"#

#• " leave the first fraction"#

#• " change division to multiplication"#

#• " invert the second fraction, that is turn it upside down"#

#rArr3/5-:4/7#

#=3/5xx7/4#

#"there are no common factors between values on "#
#"numerator/denominator"#

#"Thus multiply numbers on numerators together and"#
#"numbers on denominators together"#

#rArr3/5xx7/4=(3xx7)/(5xx4)=21/20larrcolor(red)"in simplest form"#

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