Add 1/2 and 40/75
1/2 + 40/75 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 75 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 2 × 75 = 150,
1/2 = 1 × 75/2 × 75 = 75/150 - Likewise, for the 2nd fraction, since 75 × 2 = 150,
40/75 = 40 × 2/75 × 2 = 80/150 - Add the two like fractions:
75/150 + 80/150 = 75 + 80/150 = 155/150 - 155/150 simplified gives 31/30
- So, 1/2 + 40/75 = 31/30
In mixed form: 11/30
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