Add 6/35 and 45/42
1st number: 6/35, 2nd number: 1 3/42
6/35 + 45/42 is 87/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 35 × 6 = 210,
6/35 = 6 × 6/35 × 6 = 36/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
36/210 + 225/210 = 36 + 225/210 = 261/210 - 261/210 simplified gives 87/70
- So, 6/35 + 45/42 = 87/70
In mixed form: 117/70
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