Add 30/45 and 35/54
30/45 + 35/54 is 71/54.
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,
30/45 = 30 × 6/45 × 6 = 180/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
35/54 = 35 × 5/54 × 5 = 175/270 - Add the two like fractions:
180/270 + 175/270 = 180 + 175/270 = 355/270 - 355/270 simplified gives 71/54
- So, 30/45 + 35/54 = 71/54
In mixed form: 117/54
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