What is 1.75 as a fraction in simplest form?
Understand the Problem
The question is asking to convert the decimal 1.75 into a fraction and simplify it to its simplest form.
Answer
The simplified form of the decimal 1.75 is $\frac{7}{4}$.
Answer for screen readers
The final answer is $\frac{7}{4}$.
Steps to Solve
- Identify the decimal parts
The decimal 1.75 has a whole number part (1) and a decimal part (0.75).
- Convert the decimal part to a fraction
To convert $0.75$ to a fraction, recognize that $0.75$ can be written as $\frac{75}{100}$.
- Simplify the fraction
Next, simplify $\frac{75}{100}$ by finding the greatest common divisor (GCD). The GCD of 75 and 100 is 25. Thus, we can simplify:
$$ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} $$
- Combine the whole number and the fraction
Now to combine the whole number and the fraction. The whole number part is 1 and the fractional part is $\frac{3}{4}$.
We can write this as:
$$ 1 + \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} $$
- Final simplified fraction
So, the decimal 1.75 converted to a fraction in simplest form is $\frac{7}{4}$.
The final answer is $\frac{7}{4}$.
More Information
1.75 is a common decimal often used in many contexts, such as measurements or currency. Converting decimals to fractions helps in understanding ratios and percentages better.
Tips
- Forgetting to separate the whole number from the decimal.
- Not simplifying the fraction. It's important to always reduce fractions to their simplest form.
