Question

What are the steps to doing 9 1/6+6 1/4+ 4 5/6

Answer 1

Conversion: 9 1/6 = 9 · 6 + 1
6
= 55
6
Conversion: 6 1/4 = 6 · 4 + 1
4
= 25
4
Add: 55
6
+ 25
4
= 55 · 2
6 · 2
+ 25 · 3
4 · 3
= 110
12
+ 75
12
= 110 + 75
12
= 185
12

The common denominator you can calculate as the least common multiple of the both denominators - LCM(6, 4) = 12
Conversion: 4 5/6 = 4 · 6 + 5
6
= 29
6
Add: 185
12
+ 29
6
= 185
12
+ 29 · 2
6 · 2
= 185
12
+ 58
12
= 185 + 58
12
= 243
12
= 81
4

The common denominator you can calculate as the least common multiple of the both denominators - LCM(12, 6) = 12