Evaluate (-1 7/8)+(-3 1/2)

$(- 1 \frac{7}{8}) + (- 3 \frac{1}{2})$

Remove parentheses.

$- 1 \frac{7}{8} - 3 \frac{1}{2}$

Convert $1 \frac{7}{8}$ to an improper fraction.

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

$- (1 + \frac{7}{8}) - 3 \frac{1}{2}$

Add $1$ and $\frac{7}{8}$ .

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

$- (\frac{8}{8} + \frac{7}{8}) - 3 \frac{1}{2}$

Combine the numerators over the common denominator.

$- \frac{8 + 7}{8} - 3 \frac{1}{2}$

Add $8$ and $7$ .

$- \frac{15}{8} - 3 \frac{1}{2}$

Convert $3 \frac{1}{2}$ to an improper fraction.

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

$- \frac{15}{8} - (3 + \frac{1}{2})$

Add $3$ and $\frac{1}{2}$ .

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{15}{8} - (3 \cdot \frac{2}{2} + \frac{1}{2})$

Combine $3$ and $\frac{2}{2}$ .

$- \frac{15}{8} - (\frac{3 \cdot 2}{2} + \frac{1}{2})$

Combine the numerators over the common denominator.

$- \frac{15}{8} - \frac{3 \cdot 2 + 1}{2}$

Simplify the numerator.

Multiply $3$ by $2$ .

$- \frac{15}{8} - \frac{6 + 1}{2}$

Add $6$ and $1$ .

$- \frac{15}{8} - \frac{7}{2}$

To write $- \frac{7}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$- \frac{15}{8} - \frac{7}{2} \cdot \frac{4}{4}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{2}$ by $\frac{4}{4}$ .

$- \frac{15}{8} - \frac{7 \cdot 4}{2 \cdot 4}$

Multiply $2$ by $4$ .

$- \frac{15}{8} - \frac{7 \cdot 4}{8}$

Combine the numerators over the common denominator.

$\frac{- 15 - 7 \cdot 4}{8}$

Simplify the numerator.

Multiply $- 7$ by $4$ .

$\frac{- 15 - 28}{8}$

Subtract $28$ from $- 15$ .

$\frac{- 43}{8}$

Move the negative in front of the fraction.

$- \frac{43}{8}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{43}{8}$

Decimal Form:

$- 5.375$

Mixed Number Form:

$- 5 \frac{3}{8}$

Evaluate (-1 7/8)+(-3 1/2)

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