Write 70% as a fraction in simplest form.
Understand the Problem
The question is asking us to convert the percentage 70% into a fraction and simplify it to its simplest form.
Answer
70% as a fraction in simplest form is $\frac{7}{10}$.
Answer for screen readers
70% as a fraction in simplest form is $\frac{7}{10}$.
Steps to Solve
- Convert Percentage to Fraction
To convert 70% to a fraction, we can write it as:
$$ \frac{70}{100} $$
This represents 70 out of 100.
- Simplify the Fraction
Next, we simplify the fraction. To do this, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 70 and 100 is 10.
Divide both by 10:
$$ \frac{70 \div 10}{100 \div 10} = \frac{7}{10} $$
Now, we have simplified the fraction.
- Final Fraction
Thus, 70% as a fraction in simplest form is:
$$ \frac{7}{10} $$
70% as a fraction in simplest form is $\frac{7}{10}$.
More Information
Converting a percentage to a fraction is a common math skill. Percentages express a part of a whole based on 100, making it straightforward to create fractions. Simplifying fractions helps to make them easier to understand and work with.
Tips
- Not Simplifying: A common mistake is to leave the fraction in its original form ($\frac{70}{100}$) without simplifying. Always check for the GCD to reduce fractions.
- Division Errors: Mistakes may occur when calculating the GCD or when dividing both the numerator and the denominator.
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