Add 9/12 and 40/75
9/12 + 40/75 is 77/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 12 × 25 = 300,
9/12 = 9 × 25/12 × 25 = 225/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Add the two like fractions:
225/300 + 160/300 = 225 + 160/300 = 385/300 - 385/300 simplified gives 77/60
- So, 9/12 + 40/75 = 77/60
In mixed form: 117/60
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