0.38 as a fraction in simplest form
Understand the Problem
The question is asking how to convert the decimal 0.38 into a fraction and simplify it to its simplest form. This involves identifying the place value of the decimal and expressing it as a fraction before reducing it to its simplest form.
Answer
The simplified fraction of 0.38 is $\frac{19}{50}$.
Answer for screen readers
The simplified fraction of 0.38 is (\frac{19}{50}).
Steps to Solve
- Identify the Decimal Place Value
The number 0.38 has two decimal places. The last digit is 8, which is in the hundredths place.
- Convert to Fraction
To convert the decimal to a fraction, write it as the numerator over the denominator based on the place value. Since 0.38 is in the hundredths place, we write it as:
$$ \frac{38}{100} $$
- Simplify the Fraction
Next, we need to simplify the fraction. We look for the greatest common divisor (GCD) of the numerator (38) and the denominator (100). The GCD of 38 and 100 is 2.
- Divide Both Numerator and Denominator by GCD
Now, divide both the numerator and the denominator by their GCD:
$$ \frac{38 \div 2}{100 \div 2} = \frac{19}{50} $$
The simplified fraction of 0.38 is (\frac{19}{50}).
More Information
Converting decimals to fractions is a useful skill in mathematics. Expressing decimals as fractions can help in many calculations, especially when you need to perform operations involving fractions.
Tips
- Failing to recognize the place value can lead to incorrect denominators.
- Not simplifying the fraction fully, including forgetting to check for a GCD.
