Basic Math Examples

$h (- 7) = \frac{2}{3} \cdot (- 7) + 1$

Step 1

Simplify.

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Step 1.1

Multiply $\frac{2}{3} \cdot - 7$ .

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Step 1.1.1

Combine $\frac{2}{3}$ and $- 7$ .

$h (- 7) = \frac{2 \cdot - 7}{3} + 1$

Step 1.1.2

Multiply $2$ by $- 7$ .

$h (- 7) = \frac{- 14}{3} + 1$

Step 1.2

Move the negative in front of the fraction.

$h (- 7) = - \frac{14}{3} + 1$

Step 1.3

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

$h (- 7) = - \frac{14}{3} + \frac{3}{3}$

Step 1.4

Combine the numerators over the common denominator.

$h (- 7) = \frac{- 14 + 3}{3}$

Step 1.5

Add $- 14$ and $3$ .

$h (- 7) = \frac{- 11}{3}$

Step 2

Divide each term in $h (- 7) = \frac{- 11}{3}$ by $- 7$ and simplify.

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Step 2.1

Divide each term in $h (- 7) = \frac{- 11}{3}$ by $- 7$ .

$\frac{h (- 7)}{- 7} = \frac{\frac{- 11}{3}}{- 7}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 7$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{h \cdot - 7}{- 7} = \frac{\frac{- 11}{3}}{- 7}$

Step 2.2.1.2

Divide $h$ by $1$ .

$h = \frac{\frac{- 11}{3}}{- 7}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$h = \frac{- 11}{3} \cdot \frac{1}{- 7}$

Step 2.3.2

Move the negative in front of the fraction.

$h = - \frac{11}{3} \cdot \frac{1}{- 7}$

Step 2.3.3

Move the negative in front of the fraction.

$h = - \frac{11}{3} (- \frac{1}{7})$

Step 2.3.4

Multiply $- \frac{11}{3} (- \frac{1}{7})$ .

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Step 2.3.4.1

Multiply $- 1$ by $- 1$ .

$h = 1 (\frac{11}{3}) \frac{1}{7}$

Step 2.3.4.2

Multiply $\frac{11}{3}$ by $1$ .

$h = \frac{11}{3} \cdot \frac{1}{7}$

Step 2.3.4.3

Multiply $\frac{11}{3}$ by $\frac{1}{7}$ .

$h = \frac{11}{3 \cdot 7}$

Step 2.3.4.4

Multiply $3$ by $7$ .

$h = \frac{11}{21}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$h = \frac{11}{21}$

Decimal Form:

$h = 0.\overline{523809}$