Add 10/12 and 30/42
10/12 + 30/42 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 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 42 × 2 = 84,
30/42 = 30 × 2/42 × 2 = 60/84 - Add the two like fractions:
70/84 + 60/84 = 70 + 60/84 = 130/84 - 130/84 simplified gives 65/42
- So, 10/12 + 30/42 = 65/42
In mixed form: 123/42
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