Add 3/40 and 49/14
1st number: 3/40, 2nd number: 3 7/14
3/40 + 49/14 is 143/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
3/40 = 3 × 7/40 × 7 = 21/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
49/14 = 49 × 20/14 × 20 = 980/280 - Add the two like fractions:
21/280 + 980/280 = 21 + 980/280 = 1001/280 - 1001/280 simplified gives 143/40
- So, 3/40 + 49/14 = 143/40
In mixed form: 323/40
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