Converting a Mixed Measurement to a Fraction
Have you ever encountered a mixed measurement like 1 1/2 x 4 1/2 x 6 and wondered how to convert it to a fraction? Well, you're in the right place! In this article, we'll guide you through the process of converting this mixed measurement to a fraction.
Breaking Down the Mixed Measurement
Let's start by breaking down the mixed measurement into its individual parts:
- 1 1/2 = 1 + 1/2 = 3/2
- 4 1/2 = 4 + 1/2 = 9/2
- 6 = 6/1 (as a fraction)
Converting the Multiplication to a Fraction
Now that we have our individual fractions, we can multiply them together to get:
(3/2) × (9/2) × (6/1) = ?
To multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom), like this:
Numerators: 3 × 9 × 6 = 162 Denominators: 2 × 2 × 1 = 4
So, our final fraction is:
162/4
Simplifying the Fraction
We can simplify our fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 162 and 4 is 2, so we can divide both numbers by 2:
162 ÷ 2 = 81 4 ÷ 2 = 2
And our final simplified fraction is:
81/2
There you have it! The mixed measurement 1 1/2 x 4 1/2 x 6 is equal to the fraction 81/2.
