Add 20/27 and 42/72
20/27 + 42/72 is 143/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
20/27 = 20 × 8/27 × 8 = 160/216 - Likewise, for the 2nd fraction, since 72 × 3 = 216,
42/72 = 42 × 3/72 × 3 = 126/216 - Add the two like fractions:
160/216 + 126/216 = 160 + 126/216 = 286/216 - 286/216 simplified gives 143/108
- So, 20/27 + 42/72 = 143/108
In mixed form: 135/108
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