Add 7/49 and 75/40
1st number: 7/49, 2nd number: 1 35/40
7/49 + 75/40 is 113/56.
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,
7/49 = 7 × 40/49 × 40 = 280/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
75/40 = 75 × 49/40 × 49 = 3675/1960 - Add the two like fractions:
280/1960 + 3675/1960 = 280 + 3675/1960 = 3955/1960 - 3955/1960 simplified gives 113/56
- So, 7/49 + 75/40 = 113/56
In mixed form: 21/56
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