Add 10/12 and 30/40
10/12 + 30/40 is 19/12.
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,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
100/120 + 90/120 = 100 + 90/120 = 190/120 - 190/120 simplified gives 19/12
- So, 10/12 + 30/40 = 19/12
In mixed form: 17/12
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