Converting 0.0625 into a Fraction
Converting decimals into fractions is an essential skill in mathematics. In this article, we will learn how to convert the decimal number 0.0625 into a fraction.
Step 1: Write the Decimal as a Fraction
To convert a decimal into a fraction, we can write the decimal as a fraction with a denominator of 1. In this case, we can write 0.0625 as:
0.0625 = 0.0625/1
Step 2: Multiply by a Power of 10
To eliminate the decimal point, we need to multiply both the numerator and the denominator by a power of 10. The number of times we multiply by 10 is equal to the number of decimal places. In this case, we have 4 decimal places, so we multiply by 10^4:
(0.0625 × 10^4) / (1 × 10^4) = 625 / 10000
Step 3: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 625 and 10000 is 125, so we divide both numbers by 125:
625 ÷ 125 = 5 10000 ÷ 125 = 80
Therefore, the simplified fraction is:
0.0625 = 1/16
In conclusion, we have successfully converted the decimal number 0.0625 into a fraction, which is equal to 1/16.
