Add 7/40 and 42/49
7/40 + 42/49 is 289/280.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 40 × 49 = 1960,
7/40 = 7 × 49/40 × 49 = 343/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
42/49 = 42 × 40/49 × 40 = 1680/1960 - Add the two like fractions:
343/1960 + 1680/1960 = 343 + 1680/1960 = 2023/1960 - 2023/1960 simplified gives 289/280
- So, 7/40 + 42/49 = 289/280
In mixed form: 19/280
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