Add 40/27 and 49/40
1st number: 1 13/27, 2nd number: 1 9/40
40/27 + 49/40 is 2923/1080.
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,
40/27 = 40 × 40/27 × 40 = 1600/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
49/40 = 49 × 27/40 × 27 = 1323/1080 - Add the two like fractions:
1600/1080 + 1323/1080 = 1600 + 1323/1080 = 2923/1080 - So, 40/27 + 49/40 = 2923/1080
In mixed form: 2763/1080
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