Add 45/90 and 40/75
45/90 + 40/75 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 75 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 90 × 5 = 450,
45/90 = 45 × 5/90 × 5 = 225/450 - Likewise, for the 2nd fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Add the two like fractions:
225/450 + 240/450 = 225 + 240/450 = 465/450 - 465/450 simplified gives 31/30
- So, 45/90 + 40/75 = 31/30
In mixed form: 11/30
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