Add 35/42 and 20/35
35/42 + 20/35 is 59/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 35 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Likewise, for the 2nd fraction, since 35 × 6 = 210,
20/35 = 20 × 6/35 × 6 = 120/210 - Add the two like fractions:
175/210 + 120/210 = 175 + 120/210 = 295/210 - 295/210 simplified gives 59/42
- So, 35/42 + 20/35 = 59/42
In mixed form: 117/42
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