Add 45/12 and 49/28
1st number: 3 9/12, 2nd number: 1 21/28
45/12 + 49/28 is 11/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
45/12 = 45 × 7/12 × 7 = 315/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
49/28 = 49 × 3/28 × 3 = 147/84 - Add the two like fractions:
315/84 + 147/84 = 315 + 147/84 = 462/84 - 462/84 simplified gives 11/2
- So, 45/12 + 49/28 = 11/2
In mixed form: 51/2
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