Add 10/49 and 42/40
1st number: 10/49, 2nd number: 1 2/40
10/49 + 42/40 is 1229/980.
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,
10/49 = 10 × 40/49 × 40 = 400/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Add the two like fractions:
400/1960 + 2058/1960 = 400 + 2058/1960 = 2458/1960 - 2458/1960 simplified gives 1229/980
- So, 10/49 + 42/40 = 1229/980
In mixed form: 1249/980
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