Add 42/27 and 21/40
1st number: 1 15/27, 2nd number: 21/40
42/27 + 21/40 is 749/360.
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,
42/27 = 42 × 40/27 × 40 = 1680/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
21/40 = 21 × 27/40 × 27 = 567/1080 - Add the two like fractions:
1680/1080 + 567/1080 = 1680 + 567/1080 = 2247/1080 - 2247/1080 simplified gives 749/360
- So, 42/27 + 21/40 = 749/360
In mixed form: 229/360
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