Basic Math Examples

$4.7$

Step 1

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

$1$ number to the right of the decimal point, place the decimal number over

$10^{1}$

$(10)$ . Next, add the whole number to the left of the decimal.

$4 \frac{7}{10}$

Step 2

Convert

$4 \frac{7}{10}$ to an improper fraction.

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Step 2.1

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

$4 + \frac{7}{10}$

Step 2.2

Add

$4$ and

$\frac{7}{10}$ .

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Step 2.2.1

To write

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

$\frac{10}{10}$ .

$4 \cdot \frac{10}{10} + \frac{7}{10}$

Step 2.2.2

Combine

$4$ and

$\frac{10}{10}$ .

$\frac{4 \cdot 10}{10} + \frac{7}{10}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 10 + 7}{10}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$4$ by

$10$ .

$\frac{40 + 7}{10}$

Step 2.2.4.2

Add

$40$ and

$7$ .

$\frac{47}{10}$