Basic Math Examples

$\frac{17}{4} - \frac{3}{8} + (\frac{5}{4}) (- \frac{3}{5})$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Move the leading negative in $- \frac{3}{5}$ into the numerator.

$\frac{17}{4} - \frac{3}{8} + \frac{5}{4} \cdot \frac{- 3}{5}$

Step 1.1.2

Cancel the common factor.

$\frac{17}{4} - \frac{3}{8} + \frac{5}{4} \cdot \frac{- 3}{5}$

Step 1.1.3

Rewrite the expression.

$\frac{17}{4} - \frac{3}{8} + \frac{1}{4} \cdot - 3$

Step 1.2

Combine $\frac{1}{4}$ and $- 3$ .

$\frac{17}{4} - \frac{3}{8} + \frac{- 3}{4}$

Step 1.3

Move the negative in front of the fraction.

$\frac{17}{4} - \frac{3}{8} - \frac{3}{4}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{17 - 3}{4} + \frac{- 3}{8}$

Step 2.2

Subtract $3$ from $17$ .

$\frac{14}{4} + \frac{- 3}{8}$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $14$ and $4$ .

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Step 3.1.1

Factor $2$ out of $14$ .

$\frac{2 (7)}{4} + \frac{- 3}{8}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 7}{2 \cdot 2} + \frac{- 3}{8}$

Step 3.1.2.2

Cancel the common factor.

$\frac{2 \cdot 7}{2 \cdot 2} + \frac{- 3}{8}$

Step 3.1.2.3

Rewrite the expression.

$\frac{7}{2} + \frac{- 3}{8}$

Step 3.2

Move the negative in front of the fraction.

$\frac{7}{2} - \frac{3}{8}$

Step 4

To write $\frac{7}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7}{2} \cdot \frac{4}{4} - \frac{3}{8}$

Step 5

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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Step 5.1

Multiply $\frac{7}{2}$ by $\frac{4}{4}$ .

$\frac{7 \cdot 4}{2 \cdot 4} - \frac{3}{8}$

Step 5.2

Multiply $2$ by $4$ .

$\frac{7 \cdot 4}{8} - \frac{3}{8}$

Step 6

Combine the numerators over the common denominator.

$\frac{7 \cdot 4 - 3}{8}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $7$ by $4$ .

$\frac{28 - 3}{8}$

Step 7.2

Subtract $3$ from $28$ .

$\frac{25}{8}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{8}$

Decimal Form:

$3.125$

Mixed Number Form:

$3 \frac{1}{8}$