56.25 as a fraction
Understand the Problem
The question is asking to convert the decimal number 56.25 into a fraction. This involves expressing the number in terms of a numerator and a denominator.
Answer
The fraction form of 56.25 is $\frac{225}{4}$.
Answer for screen readers
The fraction form of the decimal number 56.25 is $\frac{225}{4}$.
Steps to Solve
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Separate Whole Number and Decimal Identify the whole number part and the decimal part of the decimal number 56.25. The whole number is 56, and the decimal part is 0.25.
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Convert Decimal Part to Fraction Convert the decimal part, 0.25, into a fraction.
Since 0.25 can be expressed as $\frac{25}{100}$, we simplify it: $$ \frac{25}{100} = \frac{1}{4} $$ -
Combine Whole Number and Fraction Combine the whole number and the fraction.
The whole number 56 can be written as a fraction: $$ 56 = \frac{56 \times 4}{4} = \frac{224}{4} $$
Now add the two fractions: $$ \frac{224}{4} + \frac{1}{4} = \frac{224 + 1}{4} = \frac{225}{4} $$ -
Final Fraction Form The decimal number 56.25 can now be expressed as the fraction: $$ \frac{225}{4} $$
The fraction form of the decimal number 56.25 is $\frac{225}{4}$.
More Information
Converting decimals to fractions is a fundamental skill in mathematics. By separating the whole number and fractional parts and simplifying, we can express both in terms of a single fraction.
Tips
- Forgetting to simplify the decimal fraction before combining it with the whole number.
- Miscalculating the addition of the fractions.
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