Finite Math Examples

$\frac{145 - 150}{\frac{16}{\sqrt{36}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(145 - 150) \frac{\sqrt{36}}{16}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $36$ as $6^{2}$ .

$(145 - 150) \frac{\sqrt{6^{2}}}{16}$

Step 2.2

Pull terms out from under the radical, assuming positive real numbers.

$(145 - 150) \frac{6}{16}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Subtract $150$ from $145$ .

$- 5 (\frac{6}{16})$

Step 3.2

Cancel the common factor of $6$ and $16$ .

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Step 3.2.1

Factor $2$ out of $6$ .

$- 5 \frac{2 (3)}{16}$

Step 3.2.2

Cancel the common factors.

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Step 3.2.2.1

Factor $2$ out of $16$ .

$- 5 \frac{2 \cdot 3}{2 \cdot 8}$

Step 3.2.2.2

Cancel the common factor.

$- 5 \frac{2 \cdot 3}{2 \cdot 8}$

Step 3.2.2.3

Rewrite the expression.

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

Step 4

Multiply $- 5 (\frac{3}{8})$ .

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Step 4.1

Combine $- 5$ and $\frac{3}{8}$ .

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

Step 4.2

Multiply $- 5$ by $3$ .

$\frac{- 15}{8}$

Step 5

Move the negative in front of the fraction.

$- \frac{15}{8}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{15}{8}$

Decimal Form:

$- 1.875$

Mixed Number Form:

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