Add 10/12 and 28/40
10/12 + 28/40 is 23/15.
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,
10/12 = 10 × 10/12 × 10 = 100/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
28/40 = 28 × 3/40 × 3 = 84/120 - Add the two like fractions:
100/120 + 84/120 = 100 + 84/120 = 184/120 - 184/120 simplified gives 23/15
- So, 10/12 + 28/40 = 23/15
In mixed form: 18/15
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