Add 42/40 and 2/49
1st number: 1 2/40, 2nd number: 2/49
42/40 + 2/49 is 1069/980.
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,
42/40 = 42 × 49/40 × 49 = 2058/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
2/49 = 2 × 40/49 × 40 = 80/1960 - Add the two like fractions:
2058/1960 + 80/1960 = 2058 + 80/1960 = 2138/1960 - 2138/1960 simplified gives 1069/980
- So, 42/40 + 2/49 = 1069/980
In mixed form: 189/980
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