Division of Fractions: 4/5 ÷ 9/10
In this article, we will explore the process of dividing fractions, specifically the case of 4/5 divided by 9/10.
What is Division of Fractions?
Division of fractions is an operation that involves dividing one fraction by another. It is a fundamental concept in mathematics, and it is used in various branches of mathematics, such as algebra, geometry, and calculus.
The Rule of Division of Fractions
The rule of division of fractions is quite simple:
a/b ÷ c/d = ad/bc
Where a, b, c, and d are integers.
Solving 4/5 ÷ 9/10
Now, let's apply the rule to our problem: 4/5 divided by 9/10.
Step 1: Invert the Second Fraction
To divide fractions, we need to invert the second fraction, which means we need to flip the numerator and denominator. In this case, the second fraction is 9/10, so we flip it to 10/9.
Step 2: Multiply the Fractions
Now, we multiply the two fractions:
(4/5) × (10/9)
Step 3: Simplify the Result
To simplify the result, we multiply the numerators and denominators separately:
40 / 45
Step 4: Simplify the Fraction
We can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5 in this case:
40 ÷ 5 = 8 45 ÷ 5 = 9
So, the simplified result is:
8/9
Therefore, 4/5 divided by 9/10 is equal to 8/9.
