Add 40/72 and 16/27
40/72 + 16/27 is 31/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 72 × 3 = 216,
40/72 = 40 × 3/72 × 3 = 120/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
16/27 = 16 × 8/27 × 8 = 128/216 - Add the two like fractions:
120/216 + 128/216 = 120 + 128/216 = 248/216 - 248/216 simplified gives 31/27
- So, 40/72 + 16/27 = 31/27
In mixed form: 14/27
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