Add 70/40 and 35/49
1st number: 1 30/40, 2nd number: 35/49
70/40 + 35/49 is 69/28.
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,
70/40 = 70 × 49/40 × 49 = 3430/1960 - Likewise, for the 2nd fraction, since 49 × 40 = 1960,
35/49 = 35 × 40/49 × 40 = 1400/1960 - Add the two like fractions:
3430/1960 + 1400/1960 = 3430 + 1400/1960 = 4830/1960 - 4830/1960 simplified gives 69/28
- So, 70/40 + 35/49 = 69/28
In mixed form: 213/28
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