🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

22.5 as a fraction in simplest form

Understand the Problem

The question is asking to convert the decimal 22.5 into a fraction and simplify it to its simplest form.

Answer

The simplest form of the decimal 22.5 as a fraction is $\frac{45}{2}$.
Answer for screen readers

The simplest form of the decimal 22.5 as a fraction is $\frac{45}{2}$.

Steps to Solve

  1. Write the Decimal as a Fraction

To convert the decimal 22.5 into a fraction, first recognize that 22.5 can be rewritten as:

$$ 22.5 = \frac{225}{10} $$

This is because there is one digit after the decimal point.

  1. Simplify the Fraction

Next, we simplify the fraction $\frac{225}{10}$ by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 225 and 10 is 5.

Now divide the numerator and denominator by their GCD:

$$ \frac{225 \div 5}{10 \div 5} = \frac{45}{2} $$

  1. Final Answer in Fractional Form

The simplified form of 22.5 as a fraction is:

$$ \frac{45}{2} $$

The simplest form of the decimal 22.5 as a fraction is $\frac{45}{2}$.

More Information

Converting decimals to fractions helps in understanding relationships between numbers better. Decimals often represent fractions in mathematics, and being able to convert them is a valuable skill in many areas of study, such as measurements and ratios.

Tips

  • Forgetting to take into account the place value of the decimal when forming the initial fraction.
  • Failing to simplify the fraction properly or not finding the GCD.
Thank you for voting!
Use Quizgecko on...
Browser
Browser