Add 21/60 and 49/56
21/60 + 49/56 is 49/40.
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,
21/60 = 21 × 14/60 × 14 = 294/840 - Likewise, for the 2nd fraction, since 56 × 15 = 840,
49/56 = 49 × 15/56 × 15 = 735/840 - Add the two like fractions:
294/840 + 735/840 = 294 + 735/840 = 1029/840 - 1029/840 simplified gives 49/40
- So, 21/60 + 49/56 = 49/40
In mixed form: 19/40
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