Question

What is 17/18 - 3/7 as a Mixed fraction

Answer 1

looking at the denominators, since 7 is a prime number and 18 has factors of 2*3*3, the LCD will simply be the product of 7 and 18.

`\bf \cfrac{17}{18}-\cfrac{3}{7}\implies \stackrel{\textit{using the LCD of 126}}{\cfrac{(7)17~~-~~(18)3}{126}}\implies \cfrac{119-54}{126}\implies \cfrac{65}{126}`

Answer 2

65/126

Explanation:

This won't give a mixed fraction, or not what I think of as a mixed fraction.

You start with 17/18 which is less than 1 and subtract something from it. When you do, you get an answer between 0 and 1 (which is what happened).

The common denominator is 18*7 = 126

17 * 7 3 * 18

==== - =====

18 * 7 7 * 18

119 - 54

=== ====

126 126

65/126