0.35 as a fraction in simplest form
Understand the Problem
The question is asking to convert the decimal 0.35 into a fraction and then simplify it to its simplest form.
Answer
$\frac{7}{20}$
Answer for screen readers
The decimal 0.35 converted to a fraction in simplest form is $\frac{7}{20}$.
Steps to Solve
- Identify the decimal place value
The decimal 0.35 has two decimal places. This means we can express it as a fraction over 100.
So we can write: $$ 0.35 = \frac{35}{100} $$
- Simplify the fraction
Next, we need to simplify the fraction $\frac{35}{100}$. To do this, we find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 35 and 100 is 5.
Now we divide both the numerator and the denominator by 5: $$ \frac{35 \div 5}{100 \div 5} = \frac{7}{20} $$
- Final representation
Thus, the fraction in its simplest form is: $$ \frac{7}{20} $$
The decimal 0.35 converted to a fraction in simplest form is $\frac{7}{20}$.
More Information
Converting decimals to fractions is a common practice in mathematics. It helps to express numbers in different forms, making calculations easier in some cases. The fraction $\frac{7}{20}$ is already in the simplest form, meaning it cannot be simplified further.
Tips
- Not recognizing the correct place value for decimals and incorrectly writing the fraction.
- Forgetting to simplify the fraction to its simplest form after converting from decimal.
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