Write $9 \frac{7}{8} \%$ as a decimal (not as a percentage).

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04-11-2026
Mathematics

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Write $9 \frac{7}{8} \%$ as a decimal (not as a percentage).

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GinnyAnswer GinnyAnswer · Answer 1 · 2026-11-04T13:37:09-05:00

Convert the mixed number $9 \frac{7}{8}$ to a decimal by adding 9 and $\frac{7}{8} = 0.875$, resulting in $9.875$.
Convert the percentage $9.875\%$ to a decimal by dividing by 100.
The final result is $\boxed{0.09875}$.

Explanation

Converting the Mixed Number to Decimal Form

To express the percentage $9 \frac{7}{8} \%$ as a decimal, we first need to convert the mixed number $9 \frac{7}{8}$ into a decimal representation. A mixed number consists of a whole number and a fraction. Here, we have $9 + \frac{7}{8}$. Since $\frac{7}{8}$ is equal to $0.875$, the mixed number can be written as $9 + 0.875 = 9.875$. Therefore, $9 \frac{7}{8} \%$ is equivalent to $9.875 \%$.

Converting the Percentage to a Decimal

By definition, a percentage represents a part of 100. To convert a value from a percentage to a decimal, we divide the value by $100$. Thus, we take $9.875$ and divide it by $100$:
\[\frac{9.875}{100} = 0.09875\]
This calculation shifts the decimal point two places to the left, resulting in the final decimal value.

Examples

Converting percentages to decimals is a fundamental skill used in everyday life, especially in finance. For instance, if you are looking at a savings account with an interest rate of $9.875\%$, you need to convert this to a decimal to calculate the actual interest earned on your balance. By converting $9.875\%$ to $0.09875$, you can easily multiply this by your principal amount to determine your earnings over a year. Similar applications are found in tax calculations, discounts during sales, and statistical analysis.