Add 49/60 and 45/84
49/60 + 45/84 is 142/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 84 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 84 × 5 = 420,
45/84 = 45 × 5/84 × 5 = 225/420 - Add the two like fractions:
343/420 + 225/420 = 343 + 225/420 = 568/420 - 568/420 simplified gives 142/105
- So, 49/60 + 45/84 = 142/105
In mixed form: 137/105
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