Add 14/30 and 49/56
14/30 + 49/56 is 161/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 30 × 28 = 840,
14/30 = 14 × 28/30 × 28 = 392/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
392/840 + 735/840 = 392 + 735/840 = 1127/840 - 1127/840 simplified gives 161/120
- So, 14/30 + 49/56 = 161/120
In mixed form: 141/120
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