Add 9/12 and 27/40
9/12 + 27/40 is 57/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 12 × 10 = 120,
9/12 = 9 × 10/12 × 10 = 90/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
27/40 = 27 × 3/40 × 3 = 81/120 - Add the two like fractions:
90/120 + 81/120 = 90 + 81/120 = 171/120 - 171/120 simplified gives 57/40
- So, 9/12 + 27/40 = 57/40
In mixed form: 117/40
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