Add 49/5 and 35/21
1st number: 9 4/5, 2nd number: 1 14/21
49/5 + 35/21 is 172/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
49/5 = 49 × 21/5 × 21 = 1029/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
35/21 = 35 × 5/21 × 5 = 175/105 - Add the two like fractions:
1029/105 + 175/105 = 1029 + 175/105 = 1204/105 - 1204/105 simplified gives 172/15
- So, 49/5 + 35/21 = 172/15
In mixed form: 117/15
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