Add 35/7 and 49/40
1st number: 5 0/7, 2nd number: 1 9/40
35/7 + 49/40 is 249/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
35/7 = 35 × 40/7 × 40 = 1400/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
49/40 = 49 × 7/40 × 7 = 343/280 - Add the two like fractions:
1400/280 + 343/280 = 1400 + 343/280 = 1743/280 - 1743/280 simplified gives 249/40
- So, 35/7 + 49/40 = 249/40
In mixed form: 69/40
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