0.034 as a Fraction or Mixed Number
Definition of a Fraction
A fraction is a way to express a part of a whole as a numeral. It consists of a numerator (top number) and a denominator (bottom number) separated by a horizontal line or a slash. Fractions can be used to represent decimals, and vice versa.
Converting 0.034 to a Fraction
To convert the decimal 0.034 to a fraction, we can follow these steps:
- Write the decimal as a fraction with the denominator as a power of 10 (in this case, 1000).
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
Let's apply these steps to 0.034:
Step 1:
0.034 = 34/1000
Step 2:
GCD of 34 and 1000 = 2
Divide both numerator and denominator by 2:
34 ÷ 2 = 17
1000 ÷ 2 = 500
Simplified fraction:
0.034 = 17/500
Mixed Number Representation
A mixed number is a combination of a whole number and a fraction. To convert the fraction 17/500 to a mixed number, we can divide the numerator by the denominator:
17 ÷ 500 = 0 with a remainder of 17
Since the quotient is 0, the mixed number representation is:
0 17/500
Conclusion
The decimal 0.034 can be represented as a fraction in its simplest form as 17/500, or as a mixed number 0 17/500.
