Add 42/49 and 70/40
1st number: 42/49, 2nd number: 1 30/40
42/49 + 70/40 is 73/28.
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,
42/49 = 42 × 40/49 × 40 = 1680/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
70/40 = 70 × 49/40 × 49 = 3430/1960 - Add the two like fractions:
1680/1960 + 3430/1960 = 1680 + 3430/1960 = 5110/1960 - 5110/1960 simplified gives 73/28
- So, 42/49 + 70/40 = 73/28
In mixed form: 217/28
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