Evaluate 7(-6 1/8)

$7 (- 6 \frac{1}{8})$

Convert $6 \frac{1}{8}$ to an improper fraction.

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

$7 (- (6 + \frac{1}{8}))$

Add $6$ and $\frac{1}{8}$ .

To write $6$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$7 (- (6 \cdot \frac{8}{8} + \frac{1}{8}))$

Combine $6$ and $\frac{8}{8}$ .

$7 (- (\frac{6 \cdot 8}{8} + \frac{1}{8}))$

Combine the numerators over the common denominator.

$7 (- \frac{6 \cdot 8 + 1}{8})$

Simplify the numerator.

Multiply $6$ by $8$ .

$7 (- \frac{48 + 1}{8})$

Add $48$ and $1$ .

$7 (- \frac{49}{8})$

Multiply $7 (- \frac{49}{8})$ .

Multiply $- 1$ by $7$ .

$- 7 (\frac{49}{8})$

Combine $- 7$ and $\frac{49}{8}$ .

$\frac{- 7 \cdot 49}{8}$

Multiply $- 7$ by $49$ .

$\frac{- 343}{8}$

Move the negative in front of the fraction.

$- \frac{343}{8}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{343}{8}$

Decimal Form:

$- 42.875$

Mixed Number Form:

$- 42 \frac{7}{8}$