Basic Math Examples

10.2

$10.2$

Step 1

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

1

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

10^{1}

$10^{1}$

(10)

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

10 \frac{2}{10}

$10 \frac{2}{10}$

Step 2

Reduce the fractional part of the mixed number.

10 \frac{1}{5}

$10 \frac{1}{5}$

Step 3

Convert

10 \frac{1}{5}

$10 \frac{1}{5}$ to an improper fraction.

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Step 3.1

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

10 + \frac{1}{5}

$10 + \frac{1}{5}$

Step 3.2

Add

10

$10$ and

\frac{1}{5}

$\frac{1}{5}$ .

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Step 3.2.1

To write

10

$10$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

10 \cdot \frac{5}{5} + \frac{1}{5}

$10 \cdot \frac{5}{5} + \frac{1}{5}$

Step 3.2.2

Combine

10

$10$ and

\frac{5}{5}

$\frac{5}{5}$ .

\frac{10 \cdot 5}{5} + \frac{1}{5}

$\frac{10 \cdot 5}{5} + \frac{1}{5}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{10 \cdot 5 + 1}{5}

$\frac{10 \cdot 5 + 1}{5}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

10

$10$ by

5

$5$ .

\frac{50 + 1}{5}

$\frac{50 + 1}{5}$

Step 3.2.4.2

Add

50

$50$ and

1

$1$ .

\frac{51}{5}

$\frac{51}{5}$

\frac{51}{5}

$\frac{51}{5}$

\frac{51}{5}

$\frac{51}{5}$

\frac{51}{5}

$\frac{51}{5}$