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