Evaluate 6-1 3/14

$6 - 1 \frac{3}{14}$

Step 1

Convert $1 \frac{3}{14}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$6 - (1 + \frac{3}{14})$

Add $1$ and $\frac{3}{14}$ .

Write $1$ as a fraction with a common denominator.

$6 - (\frac{14}{14} + \frac{3}{14})$

Combine the numerators over the common denominator.

$6 - \frac{14 + 3}{14}$

Add $14$ and $3$ .

$6 - \frac{17}{14}$

Step 2

To write $6$ as a fraction with a common denominator, multiply by $\frac{14}{14}$ .

$6 \cdot \frac{14}{14} - \frac{17}{14}$

Step 3

Combine $6$ and $\frac{14}{14}$ .

$\frac{6 \cdot 14}{14} - \frac{17}{14}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 \cdot 14 - 17}{14}$

Step 5

Simplify the numerator.

Multiply $6$ by $14$ .

$\frac{84 - 17}{14}$

Subtract $17$ from $84$ .

$\frac{67}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{67}{14}$

Decimal Form:

$4.78571428 \dots$

Mixed Number Form:

$4 \frac{11}{14}$