Basic Math Examples

3.0625

$3.0625$

Step 1

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are

4

$4$ numbers to the right of the decimal point, place the decimal number over

10^{4}

$10^{4}$

(10000)

$(10000)$ . Next, add the whole number to the left of the decimal.

3 \frac{625}{10000}

$3 \frac{625}{10000}$

Step 2

Reduce the fractional part of the mixed number.

3 \frac{1}{16}

$3 \frac{1}{16}$

Step 3

Convert

3 \frac{1}{16}

$3 \frac{1}{16}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

3 + \frac{1}{16}

$3 + \frac{1}{16}$

Step 3.2

Add

3

$3$ and

\frac{1}{16}

$\frac{1}{16}$ .

Tap for more steps...

Step 3.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{16}{16}

$\frac{16}{16}$ .

3 \cdot \frac{16}{16} + \frac{1}{16}

$3 \cdot \frac{16}{16} + \frac{1}{16}$

Step 3.2.2

Combine

3

$3$ and

\frac{16}{16}

$\frac{16}{16}$ .

\frac{3 \cdot 16}{16} + \frac{1}{16}

$\frac{3 \cdot 16}{16} + \frac{1}{16}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 16 + 1}{16}

$\frac{3 \cdot 16 + 1}{16}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

3

$3$ by

16

$16$ .

\frac{48 + 1}{16}

$\frac{48 + 1}{16}$

Step 3.2.4.2

Add

48

$48$ and

1

$1$ .

\frac{49}{16}

$\frac{49}{16}$

\frac{49}{16}

$\frac{49}{16}$

\frac{49}{16}

$\frac{49}{16}$

\frac{49}{16}

$\frac{49}{16}$