Add 35/42 and 3/5
35/42 + 3/5 is 43/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 5 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 5 × 42 = 210,
3/5 = 3 × 42/5 × 42 = 126/210 - Add the two like fractions:
175/210 + 126/210 = 175 + 126/210 = 301/210 - 301/210 simplified gives 43/30
- So, 35/42 + 3/5 = 43/30
In mixed form: 113/30
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