Add 36/54 and 9/21
36/54 + 9/21 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 21 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
36/54 = 36 × 7/54 × 7 = 252/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
9/21 = 9 × 18/21 × 18 = 162/378 - Add the two like fractions:
252/378 + 162/378 = 252 + 162/378 = 414/378 - 414/378 simplified gives 23/21
- So, 36/54 + 9/21 = 23/21
In mixed form: 12/21
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