Add 40/75 and 28/30
40/75 + 28/30 is 22/15.
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,
40/75 = 40 × 2/75 × 2 = 80/150 - Likewise, for the 2nd fraction, since 30 × 5 = 150,
28/30 = 28 × 5/30 × 5 = 140/150 - Add the two like fractions:
80/150 + 140/150 = 80 + 140/150 = 220/150 - 220/150 simplified gives 22/15
- So, 40/75 + 28/30 = 22/15
In mixed form: 17/15
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