Add 21/45 and 40/54
21/45 + 40/54 is 163/135.
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,
40/54 = 40 × 5/54 × 5 = 200/270 - Add the two like fractions:
126/270 + 200/270 = 126 + 200/270 = 326/270 - 326/270 simplified gives 163/135
- So, 21/45 + 40/54 = 163/135
In mixed form: 128/135
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