Add 49/15 and 40/14
1st number: 3 4/15, 2nd number: 2 12/14
49/15 + 40/14 is 643/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
49/15 = 49 × 14/15 × 14 = 686/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
40/14 = 40 × 15/14 × 15 = 600/210 - Add the two like fractions:
686/210 + 600/210 = 686 + 600/210 = 1286/210 - 1286/210 simplified gives 643/105
- So, 49/15 + 40/14 = 643/105
In mixed form: 613/105
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