Add 27/35 and 40/84
27/35 + 40/84 is 131/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 35 × 12 = 420,
27/35 = 27 × 12/35 × 12 = 324/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
324/420 + 200/420 = 324 + 200/420 = 524/420 - 524/420 simplified gives 131/105
- So, 27/35 + 40/84 = 131/105
In mixed form: 126/105
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