Add 35/42 and 9/4
1st number: 35/42, 2nd number: 2 1/4
35/42 + 9/4 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 4 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 42 × 2 = 84,
35/42 = 35 × 2/42 × 2 = 70/84 - Likewise, for the 2nd fraction, since 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Add the two like fractions:
70/84 + 189/84 = 70 + 189/84 = 259/84 - 259/84 simplified gives 37/12
- So, 35/42 + 9/4 = 37/12
In mixed form: 31/12
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