Basic Math Examples

$\frac{158}{100} \cdot \frac{23}{5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $158$ and $100$ .

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Step 1.1.1

Factor $2$ out of $158$ .

$\frac{2 (79)}{100} \cdot \frac{23}{5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $2$ out of $100$ .

$\frac{2 \cdot 79}{2 \cdot 50} \cdot \frac{23}{5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 79}{2 \cdot 50} \cdot \frac{23}{5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.1.2.3

Rewrite the expression.

$\frac{79}{50} \cdot \frac{23}{5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.2

Multiply $\frac{79}{50} \cdot \frac{23}{5}$ .

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Step 1.2.1

Multiply $\frac{79}{50}$ by $\frac{23}{5}$ .

$\frac{79 \cdot 23}{50 \cdot 5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.2.2

Multiply $79$ by $23$ .

$\frac{1817}{50 \cdot 5} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.2.3

Multiply $50$ by $5$ .

$\frac{1817}{250} - \frac{\frac{288}{100}}{\frac{8}{10}}$

Step 1.3

Cancel the common factor of $288$ and $100$ .

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Step 1.3.1

Factor $4$ out of $288$ .

$\frac{1817}{250} - \frac{\frac{4 (72)}{100}}{\frac{8}{10}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $4$ out of $100$ .

$\frac{1817}{250} - \frac{\frac{4 \cdot 72}{4 \cdot 25}}{\frac{8}{10}}$

Step 1.3.2.2

Cancel the common factor.

$\frac{1817}{250} - \frac{\frac{4 \cdot 72}{4 \cdot 25}}{\frac{8}{10}}$

Step 1.3.2.3

Rewrite the expression.

$\frac{1817}{250} - \frac{\frac{72}{25}}{\frac{8}{10}}$

Step 1.4

Cancel the common factor of $8$ and $10$ .

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Step 1.4.1

Factor $2$ out of $8$ .

$\frac{1817}{250} - \frac{\frac{72}{25}}{\frac{2 (4)}{10}}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $10$ .

$\frac{1817}{250} - \frac{\frac{72}{25}}{\frac{2 \cdot 4}{2 \cdot 5}}$

Step 1.4.2.2

Cancel the common factor.

$\frac{1817}{250} - \frac{\frac{72}{25}}{\frac{2 \cdot 4}{2 \cdot 5}}$

Step 1.4.2.3

Rewrite the expression.

$\frac{1817}{250} - \frac{\frac{72}{25}}{\frac{4}{5}}$

Step 1.5

Multiply the numerator by the reciprocal of the denominator.

$\frac{1817}{250} - (\frac{72}{25} \cdot \frac{5}{4})$

Step 1.6

Cancel the common factor of $4$ .

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Step 1.6.1

Factor $4$ out of $72$ .

$\frac{1817}{250} - (\frac{4 (18)}{25} \cdot \frac{5}{4})$

Step 1.6.2

Cancel the common factor.

$\frac{1817}{250} - (\frac{4 \cdot 18}{25} \cdot \frac{5}{4})$

Step 1.6.3

Rewrite the expression.

$\frac{1817}{250} - (\frac{18}{25} \cdot 5)$

Step 1.7

Cancel the common factor of $5$ .

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Step 1.7.1

Factor $5$ out of $25$ .

$\frac{1817}{250} - (\frac{18}{5 (5)} \cdot 5)$

Step 1.7.2

Cancel the common factor.

$\frac{1817}{250} - (\frac{18}{5 \cdot 5} \cdot 5)$

Step 1.7.3

Rewrite the expression.

$\frac{1817}{250} - \frac{18}{5}$

Step 2

To write $- \frac{18}{5}$ as a fraction with a common denominator, multiply by $\frac{50}{50}$ .

$\frac{1817}{250} - \frac{18}{5} \cdot \frac{50}{50}$

Step 3

Write each expression with a common denominator of $250$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{18}{5}$ by $\frac{50}{50}$ .

$\frac{1817}{250} - \frac{18 \cdot 50}{5 \cdot 50}$

Step 3.2

Multiply $5$ by $50$ .

$\frac{1817}{250} - \frac{18 \cdot 50}{250}$

Step 4

Combine the numerators over the common denominator.

$\frac{1817 - 18 \cdot 50}{250}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 18$ by $50$ .

$\frac{1817 - 900}{250}$

Step 5.2

Subtract $900$ from $1817$ .

$\frac{917}{250}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{917}{250}$

Decimal Form:

$3.668$

Mixed Number Form:

$3 \frac{167}{250}$