Write 75% as a decimal. Write 75% as a fraction in simplest form.
Understand the Problem
The question is asking to convert the percentage 75% into both decimal and fraction forms. The first part requires finding the decimal equivalent, and the second part asks for the fraction in simplest form.
Answer
75% as a decimal is $0.75$ and as a fraction is $\frac{3}{4}$.
Answer for screen readers
75% as a decimal is $0.75$ and as a fraction in simplest form is $\frac{3}{4}$.
Steps to Solve
- Convert Percentage to Decimal
To convert a percentage to a decimal, divide the percentage by 100.
For 75%, this is calculated as:
$$ 75% = \frac{75}{100} = 0.75 $$
- Convert Percentage to Fraction
To convert a percentage to a fraction, write the percentage as a fraction with a denominator of 100 and simplify if necessary.
Starting with:
$$ 75% = \frac{75}{100} $$
Now, simplify the fraction. Both the numerator and the denominator can be divided by their greatest common divisor, which is 25:
$$ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} $$
75% as a decimal is $0.75$ and as a fraction in simplest form is $\frac{3}{4}$.
More Information
The percentage 75% represents three-quarters of a whole, which is why it is converted to the fraction $\frac{3}{4}$. In decimal form, it indicates the same value, showing the relationship between fractions and decimals.
Tips
- Not dividing by 100: A common mistake is forgetting to divide by 100 when converting from percentage to decimal. Always remember to do this for accurate conversion.
- Incorrect simplification: Sometimes people simplify fractions incorrectly. It's important to find the greatest common divisor to simplify correctly.
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