Add 36/32 and 40/27
1st number: 1 4/32, 2nd number: 1 13/27
36/32 + 40/27 is 563/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 27 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 32 × 27 = 864,
36/32 = 36 × 27/32 × 27 = 972/864 - Likewise, for the 2nd fraction, since 27 × 32 = 864,
40/27 = 40 × 32/27 × 32 = 1280/864 - Add the two like fractions:
972/864 + 1280/864 = 972 + 1280/864 = 2252/864 - 2252/864 simplified gives 563/216
- So, 36/32 + 40/27 = 563/216
In mixed form: 2131/216
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