Add 27/35 and 40/42
27/35 + 40/42 is 181/105.
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,
27/35 = 27 × 6/35 × 6 = 162/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
40/42 = 40 × 5/42 × 5 = 200/210 - Add the two like fractions:
162/210 + 200/210 = 162 + 200/210 = 362/210 - 362/210 simplified gives 181/105
- So, 27/35 + 40/42 = 181/105
In mixed form: 176/105
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