Add 49/14 and 75/40
1st number: 3 7/14, 2nd number: 1 35/40
49/14 + 75/40 is 43/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
49/14 = 49 × 20/14 × 20 = 980/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
980/280 + 525/280 = 980 + 525/280 = 1505/280 - 1505/280 simplified gives 43/8
- So, 49/14 + 75/40 = 43/8
In mixed form: 53/8
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