Answers

Add 10/84 and 35/54

10/84 + 35/54 is 145/189.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 54 is 756
   
   Next, find the equivalent fraction of both fractional numbers with denominator 756
2. For the 1st fraction, since 84 × 9 = 756,
   10/84 = 10 × 9/84 × 9 = 90/756
3. Likewise, for the 2nd fraction, since 54 × 14 = 756,
   35/54 = 35 × 14/54 × 14 = 490/756
4. Add the two like fractions:
   90/756 + 490/756 = 90 + 490/756 = 580/756
5. 580/756 simplified gives 145/189
6. So, 10/84 + 35/54 = 145/189

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