Add 21/12 and 42/7
1st number: 1 9/12, 2nd number: 6 0/7
21/12 + 42/7 is 31/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 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 7 × 12 = 84,
42/7 = 42 × 12/7 × 12 = 504/84 - Add the two like fractions:
147/84 + 504/84 = 147 + 504/84 = 651/84 - 651/84 simplified gives 31/4
- So, 21/12 + 42/7 = 31/4
In mixed form: 73/4
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