Add 20/54 and 40/45
20/54 + 40/45 is 34/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 45 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 54 × 5 = 270,
20/54 = 20 × 5/54 × 5 = 100/270 - Likewise, for the 2nd fraction, since 45 × 6 = 270,
40/45 = 40 × 6/45 × 6 = 240/270 - Add the two like fractions:
100/270 + 240/270 = 100 + 240/270 = 340/270 - 340/270 simplified gives 34/27
- So, 20/54 + 40/45 = 34/27
In mixed form: 17/27
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