Add 21/12 and 42/28
1st number: 1 9/12, 2nd number: 1 14/28
21/12 + 42/28 is 13/4.
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,
21/12 = 21 × 7/12 × 7 = 147/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
42/28 = 42 × 3/28 × 3 = 126/84 - Add the two like fractions:
147/84 + 126/84 = 147 + 126/84 = 273/84 - 273/84 simplified gives 13/4
- So, 21/12 + 42/28 = 13/4
In mixed form: 31/4
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