Rewrite 9 11/30 as a decimal and as a percent
The Correct Answer and Explanation is:
To rewrite 9 11/30 as a decimal and a percentage, we will break it down into steps and explain each part of the process.
Step 1: Convert the Mixed Fraction to an Improper Fraction
First, we need to convert the mixed fraction ( 9 \frac{11}{30} ) to an improper fraction. A mixed fraction consists of a whole number and a fraction. To convert it to an improper fraction, follow these steps:
- Multiply the whole number (9) by the denominator of the fraction (30).
- Add the numerator of the fraction (11) to the result from step 1.
[
9 \times 30 = 270
]
[
270 + 11 = 281
]
So, the improper fraction equivalent of ( 9 \frac{11}{30} ) is ( \frac{281}{30} ).
Step 2: Convert the Improper Fraction to a Decimal
Now that we have the improper fraction ( \frac{281}{30} ), we can convert it to a decimal by dividing the numerator (281) by the denominator (30):
[
\frac{281}{30} = 9.3666\ldots
]
This result is a repeating decimal. We can round it to two decimal places for simplicity:
[
9.37
]
Thus, 9 11/30 is approximately 9.37 when written as a decimal.
Step 3: Convert the Decimal to a Percentage
To convert a decimal to a percentage, multiply the decimal by 100. This shifts the decimal point two places to the right and adds a percentage sign:
[
9.37 \times 100 = 937\%
]
Thus, 9 11/30 as a percentage is 937%.
Final Answer:
- As a decimal: 9.37
- As a percentage: 937%
Explanation:
The process of converting a mixed fraction to a decimal involves converting the fraction into an improper fraction and then dividing. For percentages, we multiply the decimal form by 100 to shift the decimal point and add a percent sign. The conversion is essential in many fields, including finance, education, and statistics, as it allows for a clearer understanding of proportional relationships and comparisons.