Add 40/15 and 49/14
1st number: 2 10/15, 2nd number: 3 7/14
40/15 + 49/14 is 37/6.
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,
40/15 = 40 × 14/15 × 14 = 560/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
49/14 = 49 × 15/14 × 15 = 735/210 - Add the two like fractions:
560/210 + 735/210 = 560 + 735/210 = 1295/210 - 1295/210 simplified gives 37/6
- So, 40/15 + 49/14 = 37/6
In mixed form: 61/6
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