Add 35/14 and 75/42
1st number: 2 7/14, 2nd number: 1 33/42
35/14 + 75/42 is 30/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
75/42 = 75 × 1/42 × 1 = 75/42 - Add the two like fractions:
105/42 + 75/42 = 105 + 75/42 = 180/42 - 180/42 simplified gives 30/7
- So, 35/14 + 75/42 = 30/7
In mixed form: 42/7
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