Add 40/54 and 30/70
40/54 + 30/70 is 221/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 70 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 54 × 35 = 1890,
40/54 = 40 × 35/54 × 35 = 1400/1890 - Likewise, for the 2nd fraction, since 70 × 27 = 1890,
30/70 = 30 × 27/70 × 27 = 810/1890 - Add the two like fractions:
1400/1890 + 810/1890 = 1400 + 810/1890 = 2210/1890 - 2210/1890 simplified gives 221/189
- So, 40/54 + 30/70 = 221/189
In mixed form: 132/189
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