Algebra Examples

4.35

$4.35$

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{35}{100}

$4 \frac{35}{100}$

Step 2

Reduce the fractional part of the mixed number.

4 \frac{7}{20}

$4 \frac{7}{20}$

Step 3

Convert

4 \frac{7}{20}

$4 \frac{7}{20}$ to an improper fraction.

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Step 3.1

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

4 + \frac{7}{20}

$4 + \frac{7}{20}$

Step 3.2

Add

4

$4$ and

\frac{7}{20}

$\frac{7}{20}$ .

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Step 3.2.1

To write

4

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

\frac{20}{20}

$\frac{20}{20}$ .

4 \cdot \frac{20}{20} + \frac{7}{20}

$4 \cdot \frac{20}{20} + \frac{7}{20}$

Step 3.2.2

Combine

4

$4$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{4 \cdot 20}{20} + \frac{7}{20}

$\frac{4 \cdot 20}{20} + \frac{7}{20}$

Step 3.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 20 + 7}{20}

$\frac{4 \cdot 20 + 7}{20}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply

4

$4$ by

20

$20$ .

\frac{80 + 7}{20}

$\frac{80 + 7}{20}$

Step 3.2.4.2

Add

80

$80$ and

7

$7$ .

$\frac{87}{20}$

$4.35$

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