Add 70/27 and 42/40
1st number: 2 16/27, 2nd number: 1 2/40
70/27 + 42/40 is 1967/540.
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,
70/27 = 70 × 40/27 × 40 = 2800/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
42/40 = 42 × 27/40 × 27 = 1134/1080 - Add the two like fractions:
2800/1080 + 1134/1080 = 2800 + 1134/1080 = 3934/1080 - 3934/1080 simplified gives 1967/540
- So, 70/27 + 42/40 = 1967/540
In mixed form: 3347/540
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