Question

1. written as fractions, the decimals numbers 0.3 and 0.11 are 3/10 and 11/100, respectively. can you see the pattern? use this knowledge to convert 0.0625 into a fraction.

your answer

1. what is the decimal form of 5/8?

your answer

1. in this right triangle, the length of the hypotenuse, bc, is ______ units.

Explanation:

Step1: Convert decimal to fraction

The decimal \(0.0625\) has four decimal places. So, we can write it as \(\frac{625}{10000}\).

Step2: Simplify the fraction

Find the greatest common divisor (GCD) of \(625\) and \(10000\). The GCD of \(625\) and \(10000\) is \(625\). Divide both the numerator and the denominator by \(625\): \(\frac{625\div625}{10000\div625}=\frac{1}{16}\).

Step3: Convert fraction to decimal (for the second question)

To convert \(\frac{5}{8}\) to a decimal, we use division. \(5\div8 = 0.625\).

Answer:

1. \(\frac{1}{16}\)
2. \(0.625\)