Basic Math Examples

7 \times 1 \frac{3}{4}

$7 \times 1 \frac{3}{4}$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

7 \cdot (1 + \frac{3}{4})

$7 \cdot (1 + \frac{3}{4})$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

7 \cdot (\frac{4}{4} + \frac{3}{4})

$7 \cdot (\frac{4}{4} + \frac{3}{4})$

Step 1.2.2

Combine the numerators over the common denominator.

7 \cdot \frac{4 + 3}{4}

$7 \cdot \frac{4 + 3}{4}$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

7 \cdot \frac{7}{4}

$7 \cdot \frac{7}{4}$

7 \cdot \frac{7}{4}

$7 \cdot \frac{7}{4}$

7 \cdot \frac{7}{4}

$7 \cdot \frac{7}{4}$

Step 2

Multiply

7 (\frac{7}{4})

$7 (\frac{7}{4})$ .

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Step 2.1

Combine

7

$7$ and

\frac{7}{4}

$\frac{7}{4}$ .

\frac{7 \cdot 7}{4}

$\frac{7 \cdot 7}{4}$

Step 2.2

Multiply

7

$7$ by

7

$7$ .

\frac{49}{4}

$\frac{49}{4}$

\frac{49}{4}

$\frac{49}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{49}{4}

$\frac{49}{4}$

Decimal Form:

12.25

$12.25$

Mixed Number Form:

12 \frac{1}{4}

$12 \frac{1}{4}$