Add 10/20 and 40/75
10/20 + 40/75 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 20 × 15 = 300,
10/20 = 10 × 15/20 × 15 = 150/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
40/75 = 40 × 4/75 × 4 = 160/300 - Add the two like fractions:
150/300 + 160/300 = 150 + 160/300 = 310/300 - 310/300 simplified gives 31/30
- So, 10/20 + 40/75 = 31/30
In mixed form: 11/30
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