Add 84/35 and 35/54
1st number: 2 14/35, 2nd number: 35/54
84/35 + 35/54 is 823/270.
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,
84/35 = 84 × 54/35 × 54 = 4536/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
35/54 = 35 × 35/54 × 35 = 1225/1890 - Add the two like fractions:
4536/1890 + 1225/1890 = 4536 + 1225/1890 = 5761/1890 - 5761/1890 simplified gives 823/270
- So, 84/35 + 35/54 = 823/270
In mixed form: 313/270
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