Add 49/40 and 14/35
1st number: 1 9/40, 2nd number: 14/35
49/40 + 14/35 is 13/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 35 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 35 × 8 = 280,
14/35 = 14 × 8/35 × 8 = 112/280 - Add the two like fractions:
343/280 + 112/280 = 343 + 112/280 = 455/280 - 455/280 simplified gives 13/8
- So, 49/40 + 14/35 = 13/8
In mixed form: 15/8
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