Converting 0.0625 to a Fraction
In this article, we will explore how to convert the decimal 0.0625 to a fraction.
What is a Decimal?
A decimal is a way of expressing a number in base 10. It is a number that has a fractional part, which is separated from the whole part by a decimal point. For example, 0.0625 is a decimal.
What is a Fraction?
A fraction is a way of expressing a number as a ratio of two integers. It is a number that has a numerator (the top number) and a denominator (the bottom number), separated by a division line. For example, 1/2 is a fraction.
Converting 0.0625 to a Fraction
To convert 0.0625 to a fraction, we can use the following steps:
Step 1: Divide the decimal by 1
0.0625 ÷ 1 = 0.0625
Step 2: Multiply both the numerator and denominator by 10 to the power of the number of decimal places
Since 0.0625 has 4 decimal places, we multiply both the numerator and denominator by 10^4:
0.0625 × 10^4 = 625 1 × 10^4 = 10000
Step 3: Simplify the fraction
Now we have:
625/10000
Step 4: Simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor (GCD)
The GCD of 625 and 10000 is 125. So, we divide both the numerator and denominator by 125:
625 ÷ 125 = 5 10000 ÷ 125 = 80
Final Answer
So, the decimal 0.0625 converted to a fraction is:
5/80
Or, if you want to simplify it further:
1/16
There you have it! We have successfully converted the decimal 0.0625 to a fraction.
