Algebra Examples

1.4

$1.4$

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.

1 \frac{4}{10}

$1 \frac{4}{10}$

Step 2

Reduce the fractional part of the mixed number.

1 \frac{2}{5}

$1 \frac{2}{5}$

Step 3

Convert

1 \frac{2}{5}

$1 \frac{2}{5}$ to an improper fraction.

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Step 3.1

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

1 + \frac{2}{5}

$1 + \frac{2}{5}$

Step 3.2

Add

1

$1$ and

\frac{2}{5}

$\frac{2}{5}$ .

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Step 3.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{5}{5} + \frac{2}{5}

$\frac{5}{5} + \frac{2}{5}$

Step 3.2.2

Combine the numerators over the common denominator.

\frac{5 + 2}{5}

$\frac{5 + 2}{5}$

Step 3.2.3

Add

5

$5$ and

2

$2$ .

\frac{7}{5}

$\frac{7}{5}$

\frac{7}{5}

$\frac{7}{5}$

\frac{7}{5}

$\frac{7}{5}$