Add 40/90 and 12/27
40/90 + 12/27 is 8/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 27 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 90 × 3 = 270,
40/90 = 40 × 3/90 × 3 = 120/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
12/27 = 12 × 10/27 × 10 = 120/270 - Add the two like fractions:
120/270 + 120/270 = 120 + 120/270 = 240/270 - 240/270 simplified gives 8/9
- So, 40/90 + 12/27 = 8/9
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