21.25 as a fraction
Understand the Problem
The question is asking to convert the decimal number 21.25 into a fraction. This involves understanding how to express decimals in fractional form, typically by considering the place value of the decimal.
Answer
The fraction representation of the decimal 21.25 is $\frac{85}{4}$.
Answer for screen readers
The fraction representation of the decimal 21.25 is
$$ \frac{85}{4} $$
Steps to Solve
- Identify Whole and Decimal Parts
The given decimal number is 21.25. We can split this into a whole number part (21) and a decimal part (0.25).
- Convert the Decimal Part to a Fraction
To convert 0.25 into a fraction, note that the digit 25 is in the hundredths place. So we can write:
$$ 0.25 = \frac{25}{100} $$
- Simplify the Fraction
Now, simplify $\frac{25}{100}$. Both the numerator and the denominator can be divided by 25:
$$ \frac{25 \div 25}{100 \div 25} = \frac{1}{4} $$
- Combine Whole Number and Fraction
Now, we combine the whole number part with the simplified fraction:
$$ 21.25 = 21 + 0.25 = 21 + \frac{1}{4} $$
- Express as an Improper Fraction
To express this as an improper fraction, convert the whole number 21 into a fraction with the same denominator (4):
$$ 21 = \frac{21 \times 4}{4} = \frac{84}{4} $$
Now, add the two fractions:
$$ 21 + \frac{1}{4} = \frac{84}{4} + \frac{1}{4} = \frac{85}{4} $$
The fraction representation of the decimal 21.25 is
$$ \frac{85}{4} $$
More Information
Converting between decimals and fractions is useful in many real-life situations, such as in cooking or when dealing with financial calculations. The process involves careful consideration of place value and simplification.
Tips
- Forgetting to simplify the fraction: Often, students convert the decimal to a fraction but forget to reduce it to its simplest form.
- Mixing up whole numbers when adding fractions: Ensure you convert whole numbers properly to fractions before combining them.
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