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# How do you evaluate 12 \frac { 1} { 3} - 5\frac { 5} { 6}?

Mar 9, 2018

The answer is $\frac{13}{2}$

or $6 \frac{1}{2}$

#### Explanation:

First lets convert the mixed fractions into improper fractions (or whatever you want to call them) getting

$\frac{37}{3}$ - $- \frac{35}{6}$.

To get them both to have the same denominator we can multiply the first fraction by $\frac{2}{2}$ to get:

$\frac{74}{6}$ -$\frac{35}{6}$, giving us

$\frac{39}{6}$, or $\frac{13}{2}$

Mar 25, 2018

$6 \frac{1}{2}$

#### Explanation:

$12 \frac{1}{3} - 5 \frac{5}{6}$

$= 7 \text{ "+1/3-5/6" } \leftarrow$subtract the whole numbers

$= 7 \frac{2 - 5}{6} \text{ } \leftarrow$ find a common denominator

$= 6 \frac{6 + 2 - 5}{6} \text{ } \leftarrow$ convert a whole number: $1 = \frac{6}{6}$

$= 6 \frac{1}{2} \text{ } \leftarrow$ simplify the numerator