Basic Math Examples

4.78

$4.78$

Step 1

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

2

$2$ numbers to the right of the decimal point, place the decimal number over

10^{2}

$10^{2}$

(100)

$(100)$ . Next, add the whole number to the left of the decimal.

4 \frac{78}{100}

$4 \frac{78}{100}$

Step 2

Reduce the fractional part of the mixed number.

4 \frac{39}{50}

$4 \frac{39}{50}$

Step 3

Convert

4 \frac{39}{50}

$4 \frac{39}{50}$ to an improper fraction.

Tap for more steps...

Step 3.1

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

4 + \frac{39}{50}

$4 + \frac{39}{50}$

Step 3.2

Add

4

$4$ and

\frac{39}{50}

$\frac{39}{50}$ .

Tap for more steps...

Step 3.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{50}{50}

$\frac{50}{50}$ .

4 \cdot \frac{50}{50} + \frac{39}{50}

$4 \cdot \frac{50}{50} + \frac{39}{50}$

Step 3.2.2

Combine

4

$4$ and

\frac{50}{50}

$\frac{50}{50}$ .

\frac{4 \cdot 50}{50} + \frac{39}{50}

$\frac{4 \cdot 50}{50} + \frac{39}{50}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 50 + 39}{50}

$\frac{4 \cdot 50 + 39}{50}$

Step 3.2.4

Simplify the numerator.

Tap for more steps...

Step 3.2.4.1

Multiply

4

$4$ by

50

$50$ .

\frac{200 + 39}{50}

$\frac{200 + 39}{50}$

Step 3.2.4.2

Add

200

$200$ and

39

$39$ .

\frac{239}{50}

$\frac{239}{50}$

\frac{239}{50}

$\frac{239}{50}$

\frac{239}{50}

$\frac{239}{50}$

\frac{239}{50}

$\frac{239}{50}$