Add 40/45 and 21/54
40/45 + 21/54 is 23/18.
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,
40/45 = 40 × 6/45 × 6 = 240/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
21/54 = 21 × 5/54 × 5 = 105/270 - Add the two like fractions:
240/270 + 105/270 = 240 + 105/270 = 345/270 - 345/270 simplified gives 23/18
- So, 40/45 + 21/54 = 23/18
In mixed form: 15/18
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