Add 45/12 and 49/35
1st number: 3 9/12, 2nd number: 1 14/35
45/12 + 49/35 is 103/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
45/12 = 45 × 35/12 × 35 = 1575/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Add the two like fractions:
1575/420 + 588/420 = 1575 + 588/420 = 2163/420 - 2163/420 simplified gives 103/20
- So, 45/12 + 49/35 = 103/20
In mixed form: 53/20
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