Basic Math Examples

$\frac{3}{8} \cdot (5.2) + (6 \frac{1}{2}) (- \frac{1}{4})$

Step 1

Multiply $\frac{3}{8}$ by $5.2$ .

$\frac{3}{8} (5.2) + (6 \frac{1}{2}) (- \frac{1}{4})$

Step 2

Multiply $\frac{3}{8} (5.2)$ .

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Step 2.1

Combine $\frac{3}{8}$ and $5.2$ .

$\frac{3 \cdot 5.2}{8} + (6 \frac{1}{2}) (- \frac{1}{4})$

Step 2.2

Multiply $3$ by $5.2$ .

$\frac{15.6}{8} + (6 \frac{1}{2}) (- \frac{1}{4})$

Step 3

Divide $15.6$ by $8$ .

$1.95 + (6 \frac{1}{2}) (- \frac{1}{4})$

Step 4

Convert $6 \frac{1}{2}$ to an improper fraction.

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Step 4.1

A mixed number is an addition of its whole and fractional parts.

$1.95 + (6 + \frac{1}{2}) (- \frac{1}{4})$

Step 4.2

Add $6$ and $\frac{1}{2}$ .

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Step 4.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$1.95 + (6 \cdot \frac{2}{2} + \frac{1}{2}) (- \frac{1}{4})$

Step 4.2.2

Combine $6$ and $\frac{2}{2}$ .

$1.95 + (\frac{6 \cdot 2}{2} + \frac{1}{2}) (- \frac{1}{4})$

Step 4.2.3

Combine the numerators over the common denominator.

$1.95 + \frac{6 \cdot 2 + 1}{2} (- \frac{1}{4})$

Step 4.2.4

Simplify the numerator.

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Step 4.2.4.1

Multiply $6$ by $2$ .

$1.95 + \frac{12 + 1}{2} (- \frac{1}{4})$

Step 4.2.4.2

Add $12$ and $1$ .

$1.95 + \frac{13}{2} (- \frac{1}{4})$

Step 5

Multiply $\frac{13}{2} (- \frac{1}{4})$ .

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Step 5.1

Multiply $\frac{13}{2}$ by $\frac{1}{4}$ .

$1.95 - \frac{13}{2 \cdot 4}$

Step 5.2

Multiply $2$ by $4$ .

$1.95 - \frac{13}{8}$

Step 6

To write $1.95$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$1.95 \cdot \frac{8}{8} - \frac{13}{8}$

Step 7

Combine $1.95$ and $\frac{8}{8}$ .

$\frac{1.95 \cdot 8}{8} - \frac{13}{8}$

Step 8

Combine the numerators over the common denominator.

$\frac{1.95 \cdot 8 - 13}{8}$

Step 9

Rewrite $\frac{1.95 \cdot 8 - 13}{8}$ in a factored form.

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Step 9.1

Multiply $1.95$ by $8$ .

$\frac{15.6 - 13}{8}$

Step 9.2

Subtract $13$ from $15.6$ .

$\frac{2.6}{8}$

Step 9.3

Divide $2.6$ by $8$ .

$0.325$