Evaluate -1/9*3/2+3/2

$- \frac{1}{9} \cdot \frac{3}{2} + \frac{3}{2}$

Simplify each term.

Tap for more steps…

Cancel the common factor of $3$ .

Tap for more steps…

Move the leading negative in $- \frac{1}{9}$ into the numerator.

$\frac{- 1}{9} \cdot \frac{3}{2} + \frac{3}{2}$

Factor $3$ out of $9$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply $\frac{- 1}{3}$ and $\frac{1}{2}$ .

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

Multiply $3$ by $2$ .

$\frac{- 1}{6} + \frac{3}{2}$

Move the negative in front of the fraction.

$- \frac{1}{6} + \frac{3}{2}$

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

$- \frac{1}{6} + \frac{3}{2} \cdot \frac{3}{3}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps…

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

$- \frac{1}{6} + \frac{3 \cdot 3}{2 \cdot 3}$

Multiply $2$ by $3$ .

$- \frac{1}{6} + \frac{3 \cdot 3}{6}$

Combine the numerators over the common denominator.

$\frac{- 1 + 3 \cdot 3}{6}$

Simplify the numerator.

Tap for more steps…

Multiply $3$ by $3$ .

$\frac{- 1 + 9}{6}$

Add $- 1$ and $9$ .

$\frac{8}{6}$

Cancel the common factor of $8$ and $6$ .

Tap for more steps…

Factor $2$ out of $8$ .

$\frac{2 (4)}{6}$

Cancel the common factors.

Tap for more steps…

Factor $2$ out of $6$ .

$\frac{2 \cdot 4}{2 \cdot 3}$

Cancel the common factor.

$\frac{2 \cdot 4}{2 \cdot 3}$

Rewrite the expression.

$\frac{4}{3}$

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$

Evaluate -1/9*3/2+3/2

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

We can solve all your math problems