# Is 5 1/3 -3 9/18 equal to 2 5/6?

Jan 26, 2018

No, assuming I read your question correctly. It was a little confusing.

#### Explanation:

$5 \frac{1}{3} = \frac{16}{3}$

$- 3 \frac{9}{18} = - \frac{7}{2}$

so

$\frac{16}{3} - \frac{7}{2} = \frac{\left(16 \times 2\right) - \left(7 \times 3\right)}{3 \times 2} = \frac{32 - 21}{6} = \frac{11}{6}$

$\frac{11}{6}$ as a mixed number form is $1 \frac{5}{6}$.

Feb 16, 2018

Th answer is $1 \frac{5}{6}$ and not $2 \frac{5}{6}$

#### Explanation:

$5 \frac{1}{3} - 3 \frac{9}{18} \text{ } \leftarrow$ can be simplified

$5 \frac{1}{3} - 2 \frac{1}{2}$

=2 (?-?)/6" "larr subtract the whole numbers and find LCD

$= 2 \frac{2 - 3}{6} \text{ } \leftarrow$ find equivalent fractions

$= 2 \frac{- 1}{6}$

$= 1 \frac{5}{6}$

Therefore the answer $2 \frac{5}{6}$ is not correct.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~another method
$= 2 \frac{2 - 3}{6}$

$= 1 \frac{6 + 2 - 3}{6} \text{ } \leftarrow 1 = \frac{6}{6}$

$= 1 \frac{5}{6}$