0.5625 in fraction
Understand the Problem
The question is asking how to express the decimal 0.5625 as a fraction. This involves identifying the equivalent fraction for the given decimal by determining the place value.
Answer
\( \frac{9}{16} \)
Answer for screen readers
The final answer is ( \frac{9}{16} )
Steps to Solve
Converting a decimal to a fraction
- Identify the place value of the decimal
The decimal 0.5625 can be read as "five thousand six hundred twenty-five ten-thousandths".
- Write the decimal as a fraction
Write 0.5625 as a fraction with the appropriate place value:
$$ 0.5625 = \frac{5625}{10000} $$
- Simplify the fraction
Find the greatest common divisor (GCD) of the numerator and the denominator to simplify the fraction. The GCD of 5625 and 10000 is 625.
- Divide the numerator and the denominator by the GCD
$$ \frac{5625 \div 625}{10000 \div 625} = \frac{9}{16} $$
Therefore, 0.5625 as a fraction in simplest form is \( \frac{9}{16} \)
The final answer is ( \frac{9}{16} )
More Information
It's interesting to note that solving fractional representations of decimals can help in understanding the relationships between different forms of numbers.
Tips
A common mistake is not simplifying the fraction all the way, so make sure to find the greatest common divisor.
