Add 49/40 and 4/35
1st number: 1 9/40, 2nd number: 4/35
49/40 + 4/35 is 75/56.
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,
4/35 = 4 × 8/35 × 8 = 32/280 - Add the two like fractions:
343/280 + 32/280 = 343 + 32/280 = 375/280 - 375/280 simplified gives 75/56
- So, 49/40 + 4/35 = 75/56
In mixed form: 119/56
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