Add 10/12 and 35/40
10/12 + 35/40 is 41/24.
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,
35/40 = 35 × 3/40 × 3 = 105/120 - Add the two like fractions:
100/120 + 105/120 = 100 + 105/120 = 205/120 - 205/120 simplified gives 41/24
- So, 10/12 + 35/40 = 41/24
In mixed form: 117/24
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