Algebra Examples

0.675

$0.675$

Step 1

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

3

$3$ numbers to the right of the decimal point, place the decimal number over

10^{3}

$10^{3}$

(1000)

$(1000)$ . Next, add the whole number to the left of the decimal.

0 \frac{675}{1000}

$0 \frac{675}{1000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

0 \frac{675}{1000}

$0 \frac{675}{1000}$ to an improper fraction.

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Step 2.1.1

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

0 + \frac{675}{1000}

$0 + \frac{675}{1000}$

Step 2.1.2

Add

0

$0$ and

\frac{675}{1000}

$\frac{675}{1000}$ .

\frac{675}{1000}

$\frac{675}{1000}$

\frac{675}{1000}

$\frac{675}{1000}$

Step 2.2

Cancel the common factor of

675

$675$ and

1000

$1000$ .

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Step 2.2.1

Factor

25

$25$ out of

675

$675$ .

\frac{25 (27)}{1000}

$\frac{25 (27)}{1000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

25

$25$ out of

1000

$1000$ .

\frac{25 \cdot 27}{25 \cdot 40}

$\frac{25 \cdot 27}{25 \cdot 40}$

Step 2.2.2.2

Cancel the common factor.

\frac{25 \cdot 27}{25 \cdot 40}

$\frac{25 \cdot 27}{25 \cdot 40}$

Step 2.2.2.3

Rewrite the expression.

\frac{27}{40}

$\frac{27}{40}$

\frac{27}{40}

$\frac{27}{40}$

\frac{27}{40}

$\frac{27}{40}$

\frac{27}{40}

$\frac{27}{40}$