Add 21/27 and 20/32
21/27 + 20/32 is 101/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 32 is 864
Next, find the equivalent fraction of both fractional numbers with denominator 864 - For the 1st fraction, since 27 × 32 = 864,
21/27 = 21 × 32/27 × 32 = 672/864 - Likewise, for the 2nd fraction, since 32 × 27 = 864,
20/32 = 20 × 27/32 × 27 = 540/864 - Add the two like fractions:
672/864 + 540/864 = 672 + 540/864 = 1212/864 - 1212/864 simplified gives 101/72
- So, 21/27 + 20/32 = 101/72
In mixed form: 129/72
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