2 1/6 Divided by 1 1/4: A Step-by-Step Guide
When it comes to dividing mixed numbers, it can be a bit tricky. But don't worry, we've got you covered! In this article, we'll walk you through the steps to divide 2 1/6 by 1 1/4.
Converting Mixed Numbers to Improper Fractions
Before we can divide, we need to convert our mixed numbers to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
2 1/6 = ?
To convert 2 1/6 to an improper fraction, we multiply the whole number part (2) by the denominator (6) and then add the numerator (1).
2 × 6 = 12 12 + 1 = 13
So, 2 1/6 = 13/6
1 1/4 = ?
Now, let's convert 1 1/4 to an improper fraction.
1 × 4 = 4 4 + 1 = 5
So, 1 1/4 = 5/4
Now, Let's Divide!
Now that we have our improper fractions, we can divide them.
13/6 ÷ 5/4 = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
5/4 becomes 4/5 13/6 × 4/5 = ?
Multiply the numerators (13 × 4 = 52) and multiply the denominators (6 × 5 = 30).
52/30
Simplifying the Answer
We can simplify our answer by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 52 and 30 is 2.
52 ÷ 2 = 26 30 ÷ 2 = 15
So, 2 1/6 divided by 1 1/4 is equal to 26/15.
And that's it! You've successfully divided 2 1/6 by 1 1/4.
