Add 9/45 and 45/54
9/45 + 45/54 is 31/30.
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,
9/45 = 9 × 6/45 × 6 = 54/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
45/54 = 45 × 5/54 × 5 = 225/270 - Add the two like fractions:
54/270 + 225/270 = 54 + 225/270 = 279/270 - 279/270 simplified gives 31/30
- So, 9/45 + 45/54 = 31/30
In mixed form: 11/30
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