Add 45/54 and 8/21
45/54 + 8/21 is 17/14.
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,
45/54 = 45 × 7/54 × 7 = 315/378 - Likewise, for the 2nd fraction, since 21 × 18 = 378,
8/21 = 8 × 18/21 × 18 = 144/378 - Add the two like fractions:
315/378 + 144/378 = 315 + 144/378 = 459/378 - 459/378 simplified gives 17/14
- So, 45/54 + 8/21 = 17/14
In mixed form: 13/14
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