36.5 as a fraction
Understand the Problem
The question is asking to convert the decimal number 36.5 into a fractional representation. This involves expressing it in the form of a fraction where the numerator and the denominator are both whole numbers.
Answer
The fractional representation of 36.5 is $\frac{73}{2}$.
Answer for screen readers
The fractional representation of 36.5 is $\frac{73}{2}$.
Steps to Solve
- Separate the Whole Number and Decimal Part
First, we break down the number into its whole number and decimal parts. The whole number part is 36 and the decimal part is 0.5.
- Convert the Decimal Part to a Fraction
Next, we convert the decimal part (0.5) into a fraction. Since 0.5 is equivalent to $\frac{5}{10}$, we can simplify it to $\frac{1}{2}$.
- Combine the Whole Number with the Fraction
Now, we take the whole number (36) and add the fraction ($\frac{1}{2}$) to it. To write this as a single fraction, we convert the whole number to a fraction with the same denominator.
We can write 36 as $\frac{36 \times 2}{2} = \frac{72}{2}$.
- Write the Combined Fraction
Now we combine the two fractions:
$$ \frac{72}{2} + \frac{1}{2} = \frac{72 + 1}{2} = \frac{73}{2} $$
- Final Fraction
Thus, the decimal number 36.5 converted to a fraction is $\frac{73}{2}$.
The fractional representation of 36.5 is $\frac{73}{2}$.
More Information
The fraction $\frac{73}{2}$ means that for every 73 parts, we have 2 equal partitions. This fraction simplifies the representation of the decimal in a precise way.
Tips
- Forgetting to convert the decimal part correctly into a fraction.
- Not finding a common denominator when combining the whole number and the fractional part.
