Convert 0.750 to a fraction.
Understand the Problem
The question is asking how to convert the decimal 0.750 into a fraction. To solve this, we recognize that this decimal is equivalent to 750 over 1000, which can be simplified.
Answer
The fraction equivalent to the decimal $0.750$ is $\frac{3}{4}$.
Answer for screen readers
The fraction equivalent to the decimal $0.750$ is $\frac{3}{4}$.
Steps to Solve
- Write the decimal as a fraction
To convert the decimal $0.750$ into a fraction, express it as:
$$ \frac{750}{1000} $$
- Simplify the fraction
Next, we need to simplify the fraction. We can find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 750 and 1000 is 250.
So, we divide both the numerator and the denominator by 250:
$$ \frac{750 \div 250}{1000 \div 250} = \frac{3}{4} $$
- Final form
The final simplified fraction for the decimal $0.750$ is:
$$ \frac{3}{4} $$
The fraction equivalent to the decimal $0.750$ is $\frac{3}{4}$.
More Information
When converting decimals to fractions, it's helpful to remember that decimals represent parts of a whole. In this case, $0.750$ indicates that 750 out of 1000 parts are being considered, which simplifies neatly to $\frac{3}{4}$.
Tips
A common mistake is to forget to simplify the fraction after converting the decimal. Always check if both the numerator and denominator can be divided by a common factor.
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