Simplifying Fractions: 1/4 divided by 9/10
In this article, we will explore how to simplify the fraction 1/4 divided by 9/10.
Understanding Division of Fractions
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply. This is a fundamental rule in mathematics, which can be written as:
a/b ÷ c/d = a/b × d/c
Where a/b is the first fraction, and c/d is the second fraction.
Problem: 1/4 divided by 9/10
Let's apply the rule to our problem:
1/4 ÷ 9/10 = ?
To divide the fractions, we invert the second fraction (9/10) and multiply:
1/4 × 10/9 = ?
Now, we multiply the numerators (1 × 10) and multiply the denominators (4 × 9):
1 × 10 = 10
4 × 9 = 36
So, the result is:
10/36
Simplifying the Fraction
We can simplify the fraction 10/36 by dividing both numerator and denominator by their greatest common divisor (GCD). The GCD of 10 and 36 is 2, so we divide both by 2:
10 ÷ 2 = 5
36 ÷ 2 = 18
The simplified fraction is:
5/18
Therefore, 1/4 divided by 9/10 is equal to 5/18.
