Add 27/30 and 9/40
27/30 + 9/40 is 9/8.
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,
9/40 = 9 × 3/40 × 3 = 27/120 - Add the two like fractions:
108/120 + 27/120 = 108 + 27/120 = 135/120 - 135/120 simplified gives 9/8
- So, 27/30 + 9/40 = 9/8
In mixed form: 11/8
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