Add 10/12 and 40/45
10/12 + 40/45 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
10/12 = 10 × 15/12 × 15 = 150/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
40/45 = 40 × 4/45 × 4 = 160/180 - Add the two like fractions:
150/180 + 160/180 = 150 + 160/180 = 310/180 - 310/180 simplified gives 31/18
- So, 10/12 + 40/45 = 31/18
In mixed form: 113/18
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