Division of Fractions: 1/20 ÷ 3/4
In this article, we will explore the process of dividing fractions, specifically calculating 1/20 divided by 3/4.
Understanding Fraction Division
Before we dive into the calculation, let's review the concept of dividing fractions. To divide a fraction by another fraction, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
The Calculation: 1/20 ÷ 3/4
Now, let's calculate 1/20 divided by 3/4:
Step 1: Invert the second fraction (3/4) Invert the second fraction by flipping the numerator and denominator:
3/4 → 4/3
Step 2: Multiply the fractions Multiply the first fraction (1/20) by the inverted second fraction (4/3):
1/20 × 4/3 = ?
Step 3: Multiply the numerators and denominators Multiply the numerators (1 × 4 = 4) and multiply the denominators (20 × 3 = 60):
4/60
Simplifying the Result
We can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD is 4:
4 ÷ 4 = 1 60 ÷ 4 = 15
So, the final result is:
1/15
Therefore, 1/20 divided by 3/4 is equal to 1/15.
