Add 49/60 and 21/56
49/60 + 21/56 is 143/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 56 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 60 × 14 = 840,
49/60 = 49 × 14/60 × 14 = 686/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
21/56 = 21 × 15/56 × 15 = 315/840 - Add the two like fractions:
686/840 + 315/840 = 686 + 315/840 = 1001/840 - 1001/840 simplified gives 143/120
- So, 49/60 + 21/56 = 143/120
In mixed form: 123/120
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