Add 4/15 and 49/56
4/15 + 49/56 is 137/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 15 × 56 = 840,
4/15 = 4 × 56/15 × 56 = 224/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
224/840 + 735/840 = 224 + 735/840 = 959/840 - 959/840 simplified gives 137/120
- So, 4/15 + 49/56 = 137/120
In mixed form: 117/120
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