Add 54/81 and 30/35
54/81 + 30/35 is 32/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 35 is 2835
Next, find the equivalent fraction of both fractional numbers with denominator 2835 - For the 1st fraction, since 81 × 35 = 2835,
54/81 = 54 × 35/81 × 35 = 1890/2835 - Likewise, for the 2nd fraction, since 35 × 81 = 2835,
30/35 = 30 × 81/35 × 81 = 2430/2835 - Add the two like fractions:
1890/2835 + 2430/2835 = 1890 + 2430/2835 = 4320/2835 - 4320/2835 simplified gives 32/21
- So, 54/81 + 30/35 = 32/21
In mixed form: 111/21
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