Add 40/75 and 54/90
40/75 + 54/90 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
40/75 = 40 × 6/75 × 6 = 240/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
54/90 = 54 × 5/90 × 5 = 270/450 - Add the two like fractions:
240/450 + 270/450 = 240 + 270/450 = 510/450 - 510/450 simplified gives 17/15
- So, 40/75 + 54/90 = 17/15
In mixed form: 12/15
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