Add 21/45 and 45/54
21/45 + 45/54 is 13/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
21/45 = 21 × 6/45 × 6 = 126/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Add the two like fractions:
126/270 + 225/270 = 126 + 225/270 = 351/270 - 351/270 simplified gives 13/10
- So, 21/45 + 45/54 = 13/10
In mixed form: 13/10
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