Is 0.75 equal to 3/4?
Understand the Problem
The question is asking whether the decimal 0.75 is equivalent to the fraction 3/4. This involves converting one format to the other to verify their equality.
Answer
Yes, $0.75 = \frac{3}{4}$.
Answer for screen readers
Yes, $0.75$ is equivalent to the fraction $\frac{3}{4}$.
Steps to Solve
- Convert the Decimal to a Fraction
To convert the decimal $0.75$ to a fraction, we can express it as $\frac{75}{100}$ since the decimal has two decimal places.
- Simplify the Fraction
Next, we can simplify the fraction $\frac{75}{100}$. We do this by finding the Greatest Common Divisor (GCD) of 75 and 100, which is 25.
Dividing both the numerator and the denominator by 25 gives us:
$$ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} $$
- Check for Equality
Now we can check if $0.75$ is equal to $\frac{3}{4}$.
Since we have simplified $0.75$ to $\frac{3}{4}$, we can conclude that:
$$ 0.75 = \frac{3}{4} $$
Yes, $0.75$ is equivalent to the fraction $\frac{3}{4}$.
More Information
The decimal $0.75$ represents 75 hundredths, which can be simplified to the fraction $\frac{3}{4}$. This means that $0.75$ is three-quarters of a whole.
Tips
- A common mistake is to forget to simplify the fraction after converting the decimal. Always ensure to reduce your fractions to their simplest forms.
- Another mistake is miscalculating the GCD. It's important to verify your calculations to avoid errors.
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