Add 16/27 and 24/40
16/27 + 24/40 is 161/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
16/27 = 16 × 40/27 × 40 = 640/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
24/40 = 24 × 27/40 × 27 = 648/1080 - Add the two like fractions:
640/1080 + 648/1080 = 640 + 648/1080 = 1288/1080 - 1288/1080 simplified gives 161/135
- So, 16/27 + 24/40 = 161/135
In mixed form: 126/135
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