Add 27/70 and 35/42
27/70 + 35/42 is 128/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 70 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 70 × 3 = 210,
27/70 = 27 × 3/70 × 3 = 81/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
35/42 = 35 × 5/42 × 5 = 175/210 - Add the two like fractions:
81/210 + 175/210 = 81 + 175/210 = 256/210 - 256/210 simplified gives 128/105
- So, 27/70 + 35/42 = 128/105
In mixed form: 123/105
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