Add 10/12 and 16/21
10/12 + 16/21 is 67/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
10/12 = 10 × 7/12 × 7 = 70/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
16/21 = 16 × 4/21 × 4 = 64/84 - Add the two like fractions:
70/84 + 64/84 = 70 + 64/84 = 134/84 - 134/84 simplified gives 67/42
- So, 10/12 + 16/21 = 67/42
In mixed form: 125/42
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