Add 27/42 and 12/40
27/42 + 12/40 is 33/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 40 is 840
Next, find the equivalent fraction of both fractional numbers with denominator 840 - For the 1st fraction, since 42 × 20 = 840,
27/42 = 27 × 20/42 × 20 = 540/840 - Likewise, for the 2nd fraction, since 40 × 21 = 840,
12/40 = 12 × 21/40 × 21 = 252/840 - Add the two like fractions:
540/840 + 252/840 = 540 + 252/840 = 792/840 - 792/840 simplified gives 33/35
- So, 27/42 + 12/40 = 33/35
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