6 1/2 Divided by 1 1/2 as a Fraction
Dividing mixed numbers can be a bit tricky, but don't worry, we've got you covered! In this article, we'll show you how to divide 6 1/2 by 1 1/2 as a fraction.
Step 1: Convert 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.
6 1/2 = ?
To convert 6 1/2 to an improper fraction, we multiply the whole number part (6) by the denominator (2), and then add the numerator (1):
6 × 2 = 12 12 + 1 = 13
So, 6 1/2 = 13/2.
1 1/2 = ?
To convert 1 1/2 to an improper fraction, we multiply the whole number part (1) by the denominator (2), and then add the numerator (1):
1 × 2 = 2 2 + 1 = 3
So, 1 1/2 = 3/2.
Step 2: Divide the Fractions
Now that we have our improper fractions, we can divide them:
13/2 ÷ 3/2 = ?
To divide fractions, we multiply by the reciprocal of the second fraction:
13/2 × 2/3 = ?
Multiply the numerators (13 × 2) and multiply the denominators (2 × 3):
13 × 2 = 26 2 × 3 = 6
So, 13/2 × 2/3 = 26/6.
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 26 and 6 is 2:
26 ÷ 2 = 13 6 ÷ 2 = 3
So, 26/6 = 13/3.
The Final Answer
Therefore, 6 1/2 divided by 1 1/2 as a fraction is 13/3.
