Add 42/27 and 75/40
1st number: 1 15/27, 2nd number: 1 35/40
42/27 + 75/40 is 247/72.
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,
75/40 = 75 × 27/40 × 27 = 2025/1080 - Add the two like fractions:
1680/1080 + 2025/1080 = 1680 + 2025/1080 = 3705/1080 - 3705/1080 simplified gives 247/72
- So, 42/27 + 75/40 = 247/72
In mixed form: 331/72
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