Add 30/75 and 40/90
30/75 + 40/90 is 38/45.
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,
30/75 = 30 × 6/75 × 6 = 180/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
40/90 = 40 × 5/90 × 5 = 200/450 - Add the two like fractions:
180/450 + 200/450 = 180 + 200/450 = 380/450 - 380/450 simplified gives 38/45
- So, 30/75 + 40/90 = 38/45
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