Add 20/30 and 56/75
20/30 + 56/75 is 106/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
20/30 = 20 × 5/30 × 5 = 100/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
56/75 = 56 × 2/75 × 2 = 112/150 - Add the two like fractions:
100/150 + 112/150 = 100 + 112/150 = 212/150 - 212/150 simplified gives 106/75
- So, 20/30 + 56/75 = 106/75
In mixed form: 131/75
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