Dividing Fractions: 1/4 ÷ 9/10
In this article, we will explore how to divide two fractions: 1/4 divided by 9/10. This may seem like a complex problem, but fear not, as we will break it down step by step.
Understanding Division of Fractions
Before we dive into the problem, let's quickly review the basics of dividing fractions. When dividing fractions, we multiply by the reciprocal of the second fraction. Yes, you read that right - we multiply!
The formula for dividing fractions is:
a/b ÷ c/d = ad/bc
Now that we have the formula, let's apply it to our problem.
The Problem: 1/4 ÷ 9/10
We are given two fractions: 1/4 and 9/10. We want to divide 1/4 by 9/10. Using the formula above, we can write:
1/4 ÷ 9/10 = 1 × 10 / 4 × 9
Now, let's simplify the fraction:
10 / 36
As we can see, the resulting fraction is not in its simplest form. We can simplify it further by dividing both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 10 and 36 is 2. So, we can simplify the fraction as follows:
5 / 18
And there you have it! The result of dividing 1/4 by 9/10 is 5/18.
Conclusion
In this article, we have successfully divided two fractions: 1/4 divided by 9/10. We applied the formula for dividing fractions and simplified the resulting fraction to get the final answer: 5/18.
