Add 42/75 and 14/30
42/75 + 14/30 is 77/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 30 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 75 × 2 = 150,
42/75 = 42 × 2/75 × 2 = 84/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
14/30 = 14 × 5/30 × 5 = 70/150 - Add the two like fractions:
84/150 + 70/150 = 84 + 70/150 = 154/150 - 154/150 simplified gives 77/75
- So, 42/75 + 14/30 = 77/75
In mixed form: 12/75
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