Add 40/84 and 27/30
40/84 + 27/30 is 289/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Likewise, for the 2nd fraction, since 30 × 14 = 420,
27/30 = 27 × 14/30 × 14 = 378/420 - Add the two like fractions:
200/420 + 378/420 = 200 + 378/420 = 578/420 - 578/420 simplified gives 289/210
- So, 40/84 + 27/30 = 289/210
In mixed form: 179/210
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