Add 40/75 and 21/90
40/75 + 21/90 is 23/30.
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,
21/90 = 21 × 5/90 × 5 = 105/450 - Add the two like fractions:
240/450 + 105/450 = 240 + 105/450 = 345/450 - 345/450 simplified gives 23/30
- So, 40/75 + 21/90 = 23/30
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