Add 40/75 and 7/10
40/75 + 7/10 is 37/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 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 10 × 15 = 150,
7/10 = 7 × 15/10 × 15 = 105/150 - Add the two like fractions:
80/150 + 105/150 = 80 + 105/150 = 185/150 - 185/150 simplified gives 37/30
- So, 40/75 + 7/10 = 37/30
In mixed form: 17/30
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