Add 84/90 and 24/27
84/90 + 24/27 is 82/45.
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,
84/90 = 84 × 3/90 × 3 = 252/270 - Likewise, for the 2nd fraction, since 27 × 10 = 270,
24/27 = 24 × 10/27 × 10 = 240/270 - Add the two like fractions:
252/270 + 240/270 = 252 + 240/270 = 492/270 - 492/270 simplified gives 82/45
- So, 84/90 + 24/27 = 82/45
In mixed form: 137/45
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