Add 42/40 and 48/27
1st number: 1 2/40, 2nd number: 1 21/27
42/40 + 48/27 is 509/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
42/40 = 42 × 27/40 × 27 = 1134/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
48/27 = 48 × 40/27 × 40 = 1920/1080 - Add the two like fractions:
1134/1080 + 1920/1080 = 1134 + 1920/1080 = 3054/1080 - 3054/1080 simplified gives 509/180
- So, 42/40 + 48/27 = 509/180
In mixed form: 2149/180
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