Convert .0472 to a Fraction
In this article, we will explain how to convert the decimal number .0472 to a fraction.
Step 1: Write the Decimal as a Fraction
To convert a decimal to a fraction, we need to write it as a fraction with a denominator of 1.
.0472 = .0472/1
Step 2: Multiply by 10000
To get rid of the decimal point, we need to multiply the numerator and denominator by a power of 10. In this case, we multiply by 10000.
.0472/1 = (472/10000)
Step 3: Simplify the Fraction
The resulting fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 472 and 10000 is 4.
472 ÷ 4 = 118 10000 ÷ 4 = 2500
So, the simplified fraction is:
.0472 = 118/2500
Conclusion
Therefore, the decimal .0472 is equivalent to the fraction 118/2500.
This conversion is useful in various mathematical operations and problems, especially when working with fractions and decimals.