Dividing Fractions: 5/6 divided by 1/8
In this article, we will explore how to divide fractions, specifically solving the problem of 5/6 divided by 1/8.
Understanding Fraction Division
Before we dive into the solution, let's quickly review how to divide fractions. To divide two fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
The Problem: 5/6 divided by 1/8
Now, let's apply this rule to our problem:
5/6 ÷ 1/8
Step 1: Invert the Second Fraction
Invert the second fraction (1/8) by flipping the numerator and denominator:
1/8 becomes 8/1
Step 2: Multiply the Fractions
Now, multiply the two fractions:
5/6 × 8/1
Step 3: Simplify the Result
To simplify the result, multiply the numerators and denominators separately:
(5 × 8) / (6 × 1) = 40/6
The Final Answer
Finally, simplify the fraction 40/6 by dividing both numerator and denominator by their greatest common divisor, which is 2:
40/6 = 20/3
So, 5/6 divided by 1/8 is equal to 20/3.
I hope this step-by-step guide has helped you understand how to divide fractions and solve the problem of 5/6 divided by 1/8.
