Evaluate (-6/5+1/3)*(3/26)

$(- \frac{6}{5} + \frac{1}{3}) \cdot (\frac{3}{26})$

Step 1

To write $- \frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$(- \frac{6}{5} \cdot \frac{3}{3} + \frac{1}{3}) \cdot \frac{3}{26}$

Step 2

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(- \frac{6}{5} \cdot \frac{3}{3} + \frac{1}{3} \cdot \frac{5}{5}) \cdot \frac{3}{26}$

Step 3

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{6}{5}$ by $\frac{3}{3}$ .

$(- \frac{6 \cdot 3}{5 \cdot 3} + \frac{1}{3} \cdot \frac{5}{5}) \cdot \frac{3}{26}$

Multiply $5$ by $3$ .

$(- \frac{6 \cdot 3}{15} + \frac{1}{3} \cdot \frac{5}{5}) \cdot \frac{3}{26}$

Multiply $\frac{1}{3}$ by $\frac{5}{5}$ .

$(- \frac{6 \cdot 3}{15} + \frac{5}{3 \cdot 5}) \cdot \frac{3}{26}$

Multiply $3$ by $5$ .

$(- \frac{6 \cdot 3}{15} + \frac{5}{15}) \cdot \frac{3}{26}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 3 + 5}{15} \cdot \frac{3}{26}$

Step 5

Simplify the numerator.

Multiply $- 6$ by $3$ .

$\frac{- 18 + 5}{15} \cdot \frac{3}{26}$

Add $- 18$ and $5$ .

$\frac{- 13}{15} \cdot \frac{3}{26}$

Step 6

Cancel the common factor of $13$ .

Factor $13$ out of $- 13$ .

$\frac{13 (- 1)}{15} \cdot \frac{3}{26}$

Factor $13$ out of $26$ .

$\frac{13 \cdot - 1}{15} \cdot \frac{3}{13 \cdot 2}$

Cancel the common factor.

$\frac{13 \cdot - 1}{15} \cdot \frac{3}{13 \cdot 2}$

Rewrite the expression.

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

Step 7

Cancel the common factor of $3$ .

Factor $3$ out of $15$ .

$\frac{- 1}{3 (5)} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{- 1}{3 \cdot 5} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{- 1}{5} \cdot \frac{1}{2}$

Step 8

Multiply $\frac{- 1}{5}$ by $\frac{1}{2}$ .

$\frac{- 1}{5 \cdot 2}$

Step 9

Simplify the expression.

Multiply $5$ by $2$ .

$\frac{- 1}{10}$

Move the negative in front of the fraction.

$- \frac{1}{10}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{10}$

Decimal Form:

$- 0.1$

Evaluate (-6/5+1/3)*(3/26)

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