3.75 as a fraction simplest form
Understand the Problem
The question is asking how to convert the decimal number 3.75 into its simplest fractional form. This involves expressing the decimal as a fraction and then simplifying it if possible.
Answer
The simplest fractional form of 3.75 is $\frac{15}{4}$.
Answer for screen readers
The simplest fractional form of the decimal number 3.75 is $\frac{15}{4}$.
Steps to Solve
- Convert the decimal to a fraction
The decimal number 3.75 can be represented as a fraction. We recognize that the decimal has two decimal places, which allows us to express it as:
$$ \frac{375}{100} $$
- Simplify the fraction
Next, we simplify the fraction $\frac{375}{100}$. To do this, we need to find the greatest common divisor (GCD) of 375 and 100.
The GCD of 375 and 100 is 25. We divide the numerator and denominator by 25:
$$ \frac{375 \div 25}{100 \div 25} = \frac{15}{4} $$
- Final fraction
Now we have the simplified fraction:
$$ \frac{15}{4} $$
This is the simplest form of the decimal 3.75.
The simplest fractional form of the decimal number 3.75 is $\frac{15}{4}$.
More Information
The fraction $\frac{15}{4}$ can also be represented as a mixed number: $3 \frac{3}{4}$. This shows that 3.75 is equivalent to three whole parts and three-quarters of another part.
Tips
- Forgetting to simplify the fraction: Always check if the fraction can be reduced to its simplest form by finding the GCD.
- Miscounting decimal places: Ensure you correctly convert the decimal based on its value and the number of decimal places.
