Add 40/27 and 96/40
1st number: 1 13/27, 2nd number: 2 16/40
40/27 + 96/40 is 524/135.
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,
96/40 = 96 × 27/40 × 27 = 2592/1080 - Add the two like fractions:
1600/1080 + 2592/1080 = 1600 + 2592/1080 = 4192/1080 - 4192/1080 simplified gives 524/135
- So, 40/27 + 96/40 = 524/135
In mixed form: 3119/135
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