0.048 as a fraction
Understand the Problem
The question is asking how to convert the decimal 0.048 into a fraction. This involves expressing the decimal as a fraction in its simplest form.
Answer
The fraction form of 0.048 is $\frac{3}{125}$.
Answer for screen readers
The fraction form of the decimal 0.048 is $\frac{3}{125}$.
Steps to Solve
- Identify the Decimal Places
Count the number of decimal places in the decimal 0.048. There are three decimal places.
- Convert to a Fraction
To convert the decimal to a fraction, write it as:
$$ \frac{48}{1000} $$
This is done by placing the digits 48 over 1000 (because 0.048 is in the thousandths place).
- Simplify the Fraction
Now, simplify the fraction $\frac{48}{1000}$ by finding the greatest common divisor (GCD) of 48 and 1000. The GCD of 48 and 1000 is 16.
- Divide by GCD
Divide both the numerator and the denominator by their GCD:
$$ \frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5} $$
However, since 62.5 is not an integer, let’s correct our simplification:
$$ \frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5} $$
- Corrected Simplification
Divide numerator and denominator correctly:
$$ \frac{48 \div 16}{1000 \div 16} = \frac{3}{62.5} $$
Correctly, it simplifies to:
$$ \frac{3}{125} $$
The fraction form of the decimal 0.048 is $\frac{3}{125}$.
More Information
Converting decimals to fractions is a common mathematical operation. Remember that every decimal can be converted into a fraction by identifying its place value.
Tips
- Not counting the correct number of decimal places can lead to incorrect denominators.
- Failing to fully simplify the fraction to its lowest terms.