convert 0.75 to a fraction
Understand the Problem
The question is asking to convert the decimal number 0.75 into a fraction format. This involves expressing the decimal as a ratio of two integers.
Answer
The fraction equivalent of 0.75 is $\frac{3}{4}$.
Answer for screen readers
The fraction equivalent of the decimal 0.75 is $\frac{3}{4}$.
Steps to Solve
- Express the Decimal as a Fraction
Start by expressing the decimal 0.75 as a fraction. Since there are two digits after the decimal point, we can write it as:
$$ \frac{75}{100} $$
- Simplify the Fraction
Next, simplify the fraction $\frac{75}{100}$ by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 75 and 100 is 25.
Now, divide both the numerator and denominator by 25:
$$ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} $$
- Conclusion
The simplified fraction representing the decimal 0.75 is:
$$ \frac{3}{4} $$
The fraction equivalent of the decimal 0.75 is $\frac{3}{4}$.
More Information
0.75 represents three-quarters of a whole. This is a commonly used fraction in various real-life scenarios, such as measuring ingredients or sharing items.
Tips
- Misidentifying the GCD: It's essential to find the greatest common divisor correctly to simplify the fraction accurately.
- Not simplifying the fraction fully: Always ensure that the fraction is in its simplest form by checking for any possible common factors.
AI-generated content may contain errors. Please verify critical information
