0.136 as a fraction
Understand the Problem
The question is asking how to convert the decimal 0.136 into a fraction. To solve this, we can express 0.136 as 136/1000 and simplify if possible.
Answer
The fraction equivalent of the decimal 0.136 is $\frac{17}{125}$.
Answer for screen readers
The fraction equivalent of the decimal 0.136 is $\frac{17}{125}$.
Steps to Solve
- Express the decimal as a fraction We start by writing the decimal 0.136 as a fraction. Since there are three digits after the decimal point, we can express this as:
$$ \frac{136}{1000} $$
- Simplify the fraction Next, we need to simplify the fraction. We find the greatest common divisor (GCD) of the numerator (136) and the denominator (1000). In this case, the GCD is 8.
Now we divide both the numerator and the denominator by their GCD:
$$ \frac{136 \div 8}{1000 \div 8} = \frac{17}{125} $$
- Final form of the fraction The simplified form of the fraction is:
$$ \frac{17}{125} $$
The fraction equivalent of the decimal 0.136 is $\frac{17}{125}$.
More Information
Converting decimals to fractions is useful in many mathematical applications. The simplified fraction $\frac{17}{125}$ cannot be reduced further since 17 is a prime number and does not divide into 125.
Tips
Avoid the mistake of not simplifying the fraction after converting the decimal. Always check for the GCD and simplify to the lowest terms.