Convert 7 7/16 to a decimal.
Understand the Problem
The question is asking how to convert the mixed number 7 7/16 into its decimal form. This involves converting the fraction part 7/16 to a decimal and then adding it to the whole number 7.
Answer
The decimal form of the mixed number $7 \frac{7}{16}$ is $7.4375$.
Answer for screen readers
The decimal form of the mixed number $7 \frac{7}{16}$ is $7.4375$.
Steps to Solve
- Convert the Fraction to Decimal
First, we need to convert the fraction part $\frac{7}{16}$ into decimal form. We do this by dividing the numerator (7) by the denominator (16):
$$ \frac{7}{16} = 0.4375 $$
- Add the Whole Number
Now that we have the decimal form of the fraction, we add it to the whole number 7:
$$ 7 + 0.4375 = 7.4375 $$
- Final Result
The final result is $7.4375$, which is the decimal form of the mixed number $7 \frac{7}{16}$.
The decimal form of the mixed number $7 \frac{7}{16}$ is $7.4375$.
More Information
Converting mixed numbers to decimal form can be useful in various real-life applications, such as measurements and calculations. In this case, $\frac{7}{16}$ represents a fraction that is less than half and shows precision when expressed as a decimal.
Tips
- A common mistake is forgetting to convert the fraction correctly. Always double-check the division of the numerator by the denominator.
- Another mistake is not adding the proper decimal to the whole number, leading to an incorrect sum.
