Add 12/24 and 40/75
12/24 + 40/75 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 24 × 25 = 600,
12/24 = 12 × 25/24 × 25 = 300/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Add the two like fractions:
300/600 + 320/600 = 300 + 320/600 = 620/600 - 620/600 simplified gives 31/30
- So, 12/24 + 40/75 = 31/30
In mixed form: 11/30
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