# 5 divided by 75

#### Understand the Problem

The question is asking for the result of the division of 5 by 75. This is a basic arithmetic operation that requires a step-by-step solution to find the quotient.

$$\frac{1}{15}$$ or 0.0667

The result of 5 divided by 75 is ( \frac{1}{15} ) or 0.0667 (approx.).

#### Steps to Solve

1. Set up the division problem

To divide 5 by 75, set it up as a fraction:

$$\frac{5}{75}$$

1. Simplify the fraction

To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 5 and 75 is 5. Divide both the numerator and the denominator by 5:

$$\frac{5 \div 5}{75 \div 5} = \frac{1}{15}$$

1. Convert to decimal (optional)

If you need the result as a decimal, divide 1 by 15:

$$\frac{1}{15} = 0.0667$$

The result of 5 divided by 75 is ( \frac{1}{15} ) or 0.0667 (approx.).

The fraction ( \frac{1}{15} ) can also be written as a repeating decimal: 0.0666... which is approximately 0.0667 when rounded to four decimal places.

#### Tips

A common mistake is to incorrectly simplify the fraction by not finding the greatest common divisor correctly. Always ensure to divide both numerator and denominator by the GCD to get the simplest form.

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