Convert 8 21/40 to a decimal.
Understand the Problem
The question is asking to convert the mixed number 8 21/40 into its decimal form. This can be done by converting the fractional part (21/40) into a decimal and then adding it to the whole number (8).
Answer
The decimal form of the mixed number \(8 \frac{21}{40}\) is $8.525$.
Answer for screen readers
The decimal form of the mixed number (8 \frac{21}{40}) is $8.525$.
Steps to Solve
- Convert Fraction to Decimal
First, we need to convert the fractional part, $\frac{21}{40}$, into its decimal form. We do this by dividing the numerator (21) by the denominator (40):
$$ \frac{21}{40} = 21 \div 40 = 0.525 $$
- Add the Whole Number
Now, we add the decimal form of the fraction we just calculated to the whole number (8):
$$ 8 + 0.525 = 8.525 $$
- Final Result
The final step is to present the result as the decimal representation of the mixed number.
The mixed number (8 \frac{21}{40}) in decimal form is therefore (8.525).
The decimal form of the mixed number (8 \frac{21}{40}) is $8.525$.
More Information
This conversion illustrates how mixed numbers can be expressed in decimal form, which is often useful in various mathematical applications, including calculations and measurements.
Tips
- A common mistake is forgetting to add the whole number to the decimal, resulting in only converting the fraction.
- Another error could be miscalculating the division, leading to an incorrect decimal.
