1/4 Divided by 9/10 Equals
When we are dealing with fractions and division, it's essential to understand the rules and procedures to get the correct answer. In this case, we are going to explore the calculation of 1/4 divided by 9/10.
The Problem
The problem statement is:
1/4 ÷ 9/10 = ?
Step-by-Step Solution
To solve this problem, we need to follow the rules of dividing fractions. The rule states that when dividing fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
Invert the Second Fraction
First, let's invert the second fraction (9/10):
9/10 = 10/9 (flipped)
Multiply the Fractions
Now, let's multiply the two fractions:
1/4 × 10/9 = ?
To multiply fractions, we multiply the numerators (1 × 10 = 10) and multiply the denominators (4 × 9 = 36). Then, we write the product as a fraction:
10/36
Simplify the Fraction
We can simplify the fraction by dividing both the 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
The Final Answer
Therefore, 1/4 divided by 9/10 equals:
5/18
