0.0625 as a Fraction in Lowest Terms
To convert the decimal number 0.0625 to a fraction, we need to find the equivalent fraction that represents the same value.
Step 1: Convert the Decimal to a Fraction
To convert the decimal 0.0625 to a fraction, we can divide the decimal by 1, which gives us:
0.0625 ÷ 1 = 0.0625/1
Step 2: Find the Greatest Common Divisor (GCD)
To find the GCD of the numerator (625) and the denominator (10000), we can use the following steps:
- List the factors of 625: 1, 5, 25, 125, 625
- List the factors of 10000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 250, 500, 1000, 2000, 5000, 10000
- Find the common factors: 1, 5, 25
- The GCD is the highest common factor, which is 25
Step 3: Simplify the Fraction
Now that we have found the GCD, we can simplify the fraction by dividing both the numerator and the denominator by the GCD:
(0.0625 × 10000) ÷ 25 = 625 ÷ 25 = 25 1 ÷ 25 = 1/25
So, the simplified fraction is:
25/400
which is equivalent to:
1/16
Therefore, the decimal 0.0625 is equal to the fraction 1/16 in lowest terms.
