Add 45/12 and 49/16
1st number: 3 9/12, 2nd number: 3 1/16
45/12 + 49/16 is 109/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
45/12 = 45 × 4/12 × 4 = 180/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
49/16 = 49 × 3/16 × 3 = 147/48 - Add the two like fractions:
180/48 + 147/48 = 180 + 147/48 = 327/48 - 327/48 simplified gives 109/16
- So, 45/12 + 49/16 = 109/16
In mixed form: 613/16
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