Add 27/30 and 49/56
27/30 + 49/56 is 71/40.
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,
27/30 = 27 × 28/30 × 28 = 756/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
756/840 + 735/840 = 756 + 735/840 = 1491/840 - 1491/840 simplified gives 71/40
- So, 27/30 + 49/56 = 71/40
In mixed form: 131/40
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