What is 3.6 as a fraction?
Understand the Problem
The question is asking to convert the decimal number 3.6 into a fraction. This involves recognizing that 3.6 can be written as 36/10 and then simplifying if necessary.
Answer
The fraction form of the decimal 3.6 is $\frac{18}{5}$ or as a mixed number $3 \frac{3}{5}$.
Answer for screen readers
The fraction form of the decimal 3.6 is $\frac{18}{5}$ or as a mixed number it is $3 \frac{3}{5}$.
Steps to Solve
- Express the decimal as a fraction
We start by writing the decimal number 3.6 as a fraction: $$ 3.6 = \frac{36}{10} $$ This means we have 36 parts out of 10.
- Simplify the fraction
Next, we simplify the fraction by finding the greatest common divisor (GCD) of the numerator (36) and the denominator (10). The GCD of 36 and 10 is 2. We divide both the numerator and the denominator by 2: $$ \frac{36 \div 2}{10 \div 2} = \frac{18}{5} $$
- Present the mixed number (if needed)
If desired, we can convert the improper fraction into a mixed number. Since 18 is greater than 5, we can divide: $$ 18 \div 5 = 3 \text{ remainder } 3 $$ This means: $$ \frac{18}{5} = 3 \frac{3}{5} $$
The fraction form of the decimal 3.6 is $\frac{18}{5}$ or as a mixed number it is $3 \frac{3}{5}$.
More Information
Converting decimals to fractions is useful for understanding rational numbers. The fraction $\frac{18}{5}$ can also be used in various applications in math, such as in calculations or comparing sizes.
Tips
- Forgetting to simplify the fraction: Always check for the GCD to reduce fractions to their simplest form.
- Misunderstanding mixed numbers: Make sure to correctly convert an improper fraction to a mixed number if needed.
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