Division of Fractions: 5/30 divided by 45/100
In this article, we will explore the division of two fractions: 5/30 divided by 45/100. To perform this operation, we need to follow the rules of fraction division.
Step 1: Convert Both Fractions to Their Lowest Terms
Before we proceed with the division, let's convert both fractions to their lowest terms.
5/30 = 1/6 (divide both numerator and denominator by 5)
45/100 = 9/20 (divide both numerator and denominator by 5)
Now we can rewrite the division problem as:
1/6 ÷ 9/20
Step 2: Divide the Fractions
To divide two fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
1/6 ÷ 9/20 = 1/6 × 20/9
Step 3: Multiply the Fractions
Now, let's multiply the two fractions:
1/6 × 20/9 = 20/54
Step 4: Simplify the Result
The resulting fraction, 20/54, is already in its lowest terms.
Final Answer: 20/54
Therefore, 5/30 divided by 45/100 as a fraction is equal to 20/54.
