Add 40/75 and 10/12
40/75 + 10/12 is 41/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 12 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Likewise, for the 2nd fraction, since 12 × 25 = 300,
10/12 = 10 × 25/12 × 25 = 250/300 - Add the two like fractions:
160/300 + 250/300 = 160 + 250/300 = 410/300 - 410/300 simplified gives 41/30
- So, 40/75 + 10/12 = 41/30
In mixed form: 111/30
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