Add 40/75 and 30/90
40/75 + 30/90 is 13/15.
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,
30/90 = 30 × 5/90 × 5 = 150/450 - Add the two like fractions:
240/450 + 150/450 = 240 + 150/450 = 390/450 - 390/450 simplified gives 13/15
- So, 40/75 + 30/90 = 13/15
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