Add 7/4 and 35/42
1st number: 1 3/4, 2nd number: 35/42
7/4 + 35/42 is 31/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
7/4 = 7 × 21/4 × 21 = 147/84 - Likewise, for the 2nd fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84 - Add the two like fractions:
147/84 + 70/84 = 147 + 70/84 = 217/84 - 217/84 simplified gives 31/12
- So, 7/4 + 35/42 = 31/12
In mixed form: 27/12
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