Add 3/5 and 27/42
3/5 + 27/42 is 87/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
3/5 = 3 × 42/5 × 42 = 126/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
27/42 = 27 × 5/42 × 5 = 135/210 - Add the two like fractions:
126/210 + 135/210 = 126 + 135/210 = 261/210 - 261/210 simplified gives 87/70
- So, 3/5 + 27/42 = 87/70
In mixed form: 117/70
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