How do you subtract two mixed numbers?

95(1/5)-37(3/4)

95(1/5)-37(3/4)

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Feb 16, 2017

Answer:

#57 9/20#

or

#57.45#

Explanation:

In order to subtract two mixed numbers, you have to make them top heavy, and then give them the same (or common) denominator. So to solve

#95 1/5 - 37 3/4#

you first make them top heavy by multiplying the whole number by the denominator and adding the numerator, so you would get

#95 xx 5 +1#

for the first mixed number, and

#37 xx 4 +3#

for the second. This comes out as

#476/5 - 151/4#

Now that we have made them into top heavy fractions, you have to find a common denominator (or a multiple of both #4# and #5#).

The smallest common denominator for this is #20#, so for the first fraction, to get to #20# we have to times the denominator by #4#, so we times the whole fraction by #4# to give

#476/5 * 4/4 = 1904/20#

For the second fraction, the denominator has to be multiplied by #5# to make #20#, so the fraction comes out as

#151/4 * 5/5 = 755/20#

You then take the numerators away from each other, so

#1904/20 - 755/20 = 1149/20#

This can then be turned back into a mixed number of #57 9/20#, as #20# goes into #1149# exactly #57# times, with a remainder of #9#.

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S.S Share
Feb 16, 2017

Answer:

Convert them to decimals.

#57.45#

Explanation:

#95(1/5) - 37(3/4)= 95.2 - 37.75#

#95.2 - 37.75=57.45#

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