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

  1. Identify the place value of the decimal

The decimal 0.5625 can be read as "five thousand six hundred twenty-five ten-thousandths".

  1. Write the decimal as a fraction

Write 0.5625 as a fraction with the appropriate place value:

$$ 0.5625 = \frac{5625}{10000} $$

  1. 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.

  1. 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.

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