Add 24/30 and 49/75
24/30 + 49/75 is 109/75.
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,
24/30 = 24 × 5/30 × 5 = 120/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
49/75 = 49 × 2/75 × 2 = 98/150 - Add the two like fractions:
120/150 + 98/150 = 120 + 98/150 = 218/150 - 218/150 simplified gives 109/75
- So, 24/30 + 49/75 = 109/75
In mixed form: 134/75
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