Basic Math Examples

\frac{22}{7} \cdot 1 \frac{3}{7}

$\frac{22}{7} \cdot 1 \frac{3}{7}$

Step 1

Convert

1 \frac{3}{7}

$1 \frac{3}{7}$ to an improper fraction.

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Step 1.1

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

\frac{22}{7} \cdot (1 + \frac{3}{7})

$\frac{22}{7} \cdot (1 + \frac{3}{7})$

Step 1.2

Add

1

$1$ and

\frac{3}{7}

$\frac{3}{7}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{22}{7} \cdot (\frac{7}{7} + \frac{3}{7})

$\frac{22}{7} \cdot (\frac{7}{7} + \frac{3}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{22}{7} \cdot \frac{7 + 3}{7}

$\frac{22}{7} \cdot \frac{7 + 3}{7}$

Step 1.2.3

Add

7

$7$ and

3

$3$ .

\frac{22}{7} \cdot \frac{10}{7}

$\frac{22}{7} \cdot \frac{10}{7}$

\frac{22}{7} \cdot \frac{10}{7}

$\frac{22}{7} \cdot \frac{10}{7}$

\frac{22}{7} \cdot \frac{10}{7}

$\frac{22}{7} \cdot \frac{10}{7}$

Step 2

Multiply

\frac{22}{7} \cdot \frac{10}{7}

$\frac{22}{7} \cdot \frac{10}{7}$ .

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Step 2.1

Multiply

\frac{22}{7}

$\frac{22}{7}$ by

\frac{10}{7}

$\frac{10}{7}$ .

\frac{22 \cdot 10}{7 \cdot 7}

$\frac{22 \cdot 10}{7 \cdot 7}$

Step 2.2

Multiply

22

$22$ by

10

$10$ .

\frac{220}{7 \cdot 7}

$\frac{220}{7 \cdot 7}$

Step 2.3

Multiply

7

$7$ by

7

$7$ .

\frac{220}{49}

$\frac{220}{49}$

\frac{220}{49}

$\frac{220}{49}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{220}{49}

$\frac{220}{49}$

Decimal Form:

4.48979591 \dots

$4.48979591 \dots$

Mixed Number Form:

4 \frac{24}{49}

$4 \frac{24}{49}$