Add 42/27 and 75/80
1st number: 1 15/27, 2nd number: 75/80
42/27 + 75/80 is 359/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 80 is 2160
Next, find the equivalent fraction of both fractional numbers with denominator 2160 - For the 1st fraction, since 27 × 80 = 2160,
42/27 = 42 × 80/27 × 80 = 3360/2160 - Likewise, for the 2nd fraction, since 80 × 27 = 2160,
75/80 = 75 × 27/80 × 27 = 2025/2160 - Add the two like fractions:
3360/2160 + 2025/2160 = 3360 + 2025/2160 = 5385/2160 - 5385/2160 simplified gives 359/144
- So, 42/27 + 75/80 = 359/144
In mixed form: 271/144
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