Evaluate -7/24-7/4-(7)

$- \frac{7}{24} - \frac{7}{4} - (7)$

Step 1

Find the common denominator.

Multiply $\frac{7}{4}$ by $\frac{6}{6}$ .

$- \frac{7}{24} - (\frac{7}{4} \cdot \frac{6}{6}) - (7)$

Multiply $\frac{7}{4}$ by $\frac{6}{6}$ .

$- \frac{7}{24} - \frac{7 \cdot 6}{4 \cdot 6} - (7)$

Write $- (7)$ as a fraction with denominator $1$ .

$- \frac{7}{24} - \frac{7 \cdot 6}{4 \cdot 6} + \frac{- (7)}{1}$

Multiply $\frac{- (7)}{1}$ by $\frac{24}{24}$ .

$- \frac{7}{24} - \frac{7 \cdot 6}{4 \cdot 6} + \frac{- (7)}{1} \cdot \frac{24}{24}$

Multiply $\frac{- (7)}{1}$ by $\frac{24}{24}$ .

$- \frac{7}{24} - \frac{7 \cdot 6}{4 \cdot 6} + \frac{- (7) \cdot 24}{24}$

Multiply $4$ by $6$ .

$- \frac{7}{24} - \frac{7 \cdot 6}{24} + \frac{- (7) \cdot 24}{24}$

Step 2

Combine the numerators over the common denominator.

$\frac{- 7 - 7 \cdot 6 - (7) \cdot 24}{24}$

Step 3

Simplify each term.

Multiply $- 7$ by $6$ .

$\frac{- 7 - 42 - (7) \cdot 24}{24}$

Multiply $- (7) \cdot 24$ .

Multiply $- 1$ by $7$ .

$\frac{- 7 - 42 - 7 \cdot 24}{24}$

Multiply $- 7$ by $24$ .

$\frac{- 7 - 42 - 168}{24}$

Step 4

Simplify the expression.

Subtract $42$ from $- 7$ .

$\frac{- 49 - 168}{24}$

Subtract $168$ from $- 49$ .

$\frac{- 217}{24}$

Move the negative in front of the fraction.

$- \frac{217}{24}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{217}{24}$

Decimal Form:

$- 9.041\overline{6}$

Mixed Number Form:

$- 9 \frac{1}{24}$