Add 49/60 and 14/21
49/60 + 14/21 is 89/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
49/60 = 49 × 7/60 × 7 = 343/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
14/21 = 14 × 20/21 × 20 = 280/420 - Add the two like fractions:
343/420 + 280/420 = 343 + 280/420 = 623/420 - 623/420 simplified gives 89/60
- So, 49/60 + 14/21 = 89/60
In mixed form: 129/60
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