Add 27/49 and 64/40
1st number: 27/49, 2nd number: 1 24/40
27/49 + 64/40 is 527/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
27/49 = 27 × 40/49 × 40 = 1080/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
64/40 = 64 × 49/40 × 49 = 3136/1960 - Add the two like fractions:
1080/1960 + 3136/1960 = 1080 + 3136/1960 = 4216/1960 - 4216/1960 simplified gives 527/245
- So, 27/49 + 64/40 = 527/245
In mixed form: 237/245
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