Add 45/54 and 30/35
45/54 + 30/35 is 71/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 35 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 54 × 35 = 1890,
45/54 = 45 × 35/54 × 35 = 1575/1890 - Likewise, for the 2nd fraction, since 35 × 54 = 1890,
30/35 = 30 × 54/35 × 54 = 1620/1890 - Add the two like fractions:
1575/1890 + 1620/1890 = 1575 + 1620/1890 = 3195/1890 - 3195/1890 simplified gives 71/42
- So, 45/54 + 30/35 = 71/42
In mixed form: 129/42
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