Add 49/40 and 35/28
1st number: 1 9/40, 2nd number: 1 7/28
49/40 + 35/28 is 99/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Likewise, for the 2nd fraction, since 28 × 10 = 280,
35/28 = 35 × 10/28 × 10 = 350/280 - Add the two like fractions:
343/280 + 350/280 = 343 + 350/280 = 693/280 - 693/280 simplified gives 99/40
- So, 49/40 + 35/28 = 99/40
In mixed form: 219/40
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