Basic Math Examples

$0.0078125$

Step 1

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

$7$ numbers to the right of the decimal point, place the decimal number over

$10^{7}$

$(10000000)$ . Next, add the whole number to the left of the decimal.

$0 \frac{78125}{10000000}$

Step 2

Reduce the fraction.

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Step 2.1

Convert

$0 \frac{78125}{10000000}$ to an improper fraction.

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Step 2.1.1

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

$0 + \frac{78125}{10000000}$

Step 2.1.2

Add

$0$ and

$\frac{78125}{10000000}$ .

$\frac{78125}{10000000}$

Step 2.2

Cancel the common factor of

$78125$ and

$10000000$ .

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Step 2.2.1

Factor

$78125$ out of

$78125$ .

$\frac{78125 (1)}{10000000}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor

$78125$ out of

$10000000$ .

$\frac{78125 \cdot 1}{78125 \cdot 128}$

Step 2.2.2.2

Cancel the common factor.

$\frac{78125 \cdot 1}{78125 \cdot 128}$

Step 2.2.2.3

Rewrite the expression.

$\frac{1}{128}$