Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:I'll solve this step-by-step using the guidelines you specified:
Step 2:: Identify the decimal
The decimal we want to convert is $$0.0625
Step 3:: Understand the conversion method
To convert a decimal to a fraction, we need to: - Multiply the decimal by a power of 10 to make it a whole number - Create a fraction with this whole number as the numerator - Simplify the fraction if possible
Step 4:: Multiply by a power of 10
0.0625 \times 10^{4} = 625
Step 5:: Create the initial fraction
\frac{625}{10^{4}} = \frac{625}{10000}
Step 6:: Simplify the fraction
\frac{625 \div 125}{10000 \div 125} = \frac{5}{80}
We can divide both the numerator and denominator by their greatest common factor - Factors of 625: 1, 5, 25, 125, 625 - Factors of 10000: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000, 2000, 5000, 10000 The greatest common factor is 125
Final Answer
0.0625 = \frac{1}{16}
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students