Add 35/60 and 49/21
1st number: 35/60, 2nd number: 2 7/21
35/60 + 49/21 is 35/12.
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,
35/60 = 35 × 7/60 × 7 = 245/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
49/21 = 49 × 20/21 × 20 = 980/420 - Add the two like fractions:
245/420 + 980/420 = 245 + 980/420 = 1225/420 - 1225/420 simplified gives 35/12
- So, 35/60 + 49/21 = 35/12
In mixed form: 211/12
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