Add 27/30 and 30/40
27/30 + 30/40 is 33/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
27/30 = 27 × 4/30 × 4 = 108/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
108/120 + 90/120 = 108 + 90/120 = 198/120 - 198/120 simplified gives 33/20
- So, 27/30 + 30/40 = 33/20
In mixed form: 113/20
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