Question

problem 4
find the difference:
$8\frac{1}{6} - 1\frac{3}{5}$

Explanation:

Step1: Convert to improper fractions

$8\frac{1}{6} = \frac{8\times6 +1}{6}=\frac{49}{6}$, $1\frac{3}{5}=\frac{1\times5+3}{5}=\frac{8}{5}$

Step2: Find common denominator

Common denominator of 6 and 5 is 30. Rewrite fractions: $\frac{49}{6}=\frac{49\times5}{30}=\frac{245}{30}$, $\frac{8}{5}=\frac{8\times6}{30}=\frac{48}{30}$

Step3: Subtract fractions

$\frac{245}{30}-\frac{48}{30}=\frac{197}{30}$

Step4: Convert back to mixed number

$\frac{197}{30}=6\frac{17}{30}$

Answer:

$\boldsymbol{6\frac{17}{30}}$ (or $\frac{197}{30}$)