Add 30/35 and 40/54
30/35 + 40/54 is 302/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
30/35 = 30 × 54/35 × 54 = 1620/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
40/54 = 40 × 35/54 × 35 = 1400/1890 - Add the two like fractions:
1620/1890 + 1400/1890 = 1620 + 1400/1890 = 3020/1890 - 3020/1890 simplified gives 302/189
- So, 30/35 + 40/54 = 302/189
In mixed form: 1113/189
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