What is 0.96 as a fraction?
Understand the Problem
The question is asking us to convert the decimal 0.96 into a fraction. This involves identifying the fractional equivalent by considering the decimal places.
Answer
The decimal $0.96$ can be expressed as the fraction $\frac{24}{25}$.
Answer for screen readers
The fraction equivalent of the decimal $0.96$ is $\frac{24}{25}$.
Steps to Solve
- Identify the decimal places
The decimal $0.96$ has two decimal places. This means it is out of $100$.
- Write the decimal as a fraction
We can express the decimal as a fraction over $100$. So, we write: $$ 0.96 = \frac{96}{100} $$
- Simplify the fraction
Next, we simplify the fraction by finding the greatest common divisor (GCD) of $96$ and $100$. The GCD of $96$ and $100$ is $4$.
- Divide the numerator and denominator by the GCD
We divide both the numerator and the denominator by $4$: $$ \frac{96 \div 4}{100 \div 4} = \frac{24}{25} $$
- Final fraction form
The simplified fraction representation of $0.96$ is: $$ \frac{24}{25} $$
The fraction equivalent of the decimal $0.96$ is $\frac{24}{25}$.
More Information
Converting decimals to fractions is a useful skill in various mathematical contexts. The process often involves identifying the place value of the decimal, writing it as a fraction, and then simplifying.
Tips
- Forgetting to simplify the fraction after writing it. Always check if the fraction can be reduced.
- Misidentifying the GCD. It is essential to correctly find the largest number that divides both the numerator and denominator.
