How do you evaluate #2\frac { 7} { 10} \times 4\frac { 2} { 3}#?

1 Answer
Sena Dzirasa
Apr 2, 2017

#63/5# or #12(3)/5#

Explanation:

To multiply that, rewrite the mixed fractions as improper fractions.

Take the denominator of the mixed fraction, multiply it by the whole number and add the numerator. Whatever value you get becomes the numerator of the improper fraction over the denominator of the mixed fraction.

For #2(7)/10#, we multiply #10# by #2# and add the product to #7#

#(10*2)+7#

#20+7#

#27#

So our numerator is #27# over our denominator which is #10#

#:.#Our improper fraction for #2(7)/10# is #27/10#

For #4(2)/3#, we multiply #3# by #4# and add the product to #2#

#(3*4)+2#

#12+2#

#14#

So our numerator is #14# over our denominator which is #3#

#:.#Our improper fraction for #4(2)/3# is #14/3#

Now to the question;

#27/10xx14/3#

Multiply the numerators and the denominators or cancel out numbers which are factors or multiples of each other.

Using #3# to divide #27# and #3#

#cancel27^color(red)9/10xx14/cancel3^color(red)1#

Using #2# to divide #14# and #10#

#9/cancel10^color(red)5xxcancel14^color(red)7/1#

Now multiply the numerators and the denominators.

#rArr63/5#

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