How do you evaluate #20\frac { 1} { 11} - 4\frac { 1} { 8}#?

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Answer 1 · 2017-11-13T13:44:49

See a solution process below:

First, convert each mixed number to an improper fraction:

#20 1/11 = 20 + 1/11 = (11/11 xx 20) + 1/11 = 220/11 + 1/11 = (220 + 1)/11 = 221/11#

#4 1/8 = 4 + 1/8 = (8/8 xx 4) + 1/8 = 32/8 + 1/8 = (32 + 1)/8 = 33/8#

To add or subtract fractions they must be over common denominators:

#221/11 xx 8/8 = 1768/88#

#33/8 xx 11/11 = 363/88#

Next, we can subtract the numerators over the common denominator:

#(1768 - 363)/88 = 1405/88#

If necessary, we can now convert this result into a mixed number:

#1405/88 = (1320 + 85)/88 = 1320/88 + 85/88 = 15 + 85/88 = 15 85/88#