Add 28/30 and 42/75
28/30 + 42/75 is 112/75.
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,
28/30 = 28 × 5/30 × 5 = 140/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
42/75 = 42 × 2/75 × 2 = 84/150 - Add the two like fractions:
140/150 + 84/150 = 140 + 84/150 = 224/150 - 224/150 simplified gives 112/75
- So, 28/30 + 42/75 = 112/75
In mixed form: 137/75
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