Converting Mixed Measurements to Fractions
In this article, we will explore how to convert mixed measurements to fractions, specifically focusing on the example of 2 x 1 1/4 x 1 1/2.
Understanding Mixed Measurements
Mixed measurements are a combination of whole numbers and fractions. They are often used to express quantities that are not whole numbers. For instance, 1 1/4 is a mixed measurement that represents one whole unit and one-quarter of another unit.
Breaking Down the Problem
Our problem is to convert the mixed measurement 2 x 1 1/4 x 1 1/2 to a fraction. To do this, we need to follow a step-by-step process.
Step 1: Convert Mixed Measurements to Improper Fractions
First, we need to convert each mixed measurement to an improper fraction.
- 1 1/4 = 5/4 (multiply the whole number part by the denominator and add the numerator)
- 1 1/2 = 3/2 (multiply the whole number part by the denominator and add the numerator)
So, our equation becomes:
2 x 5/4 x 3/2
Step 2: Multiply the Fractions
Next, we need to multiply the fractions together.
- 2 x 5/4 = 10/4 (multiply the numerators and denominators separately)
- 10/4 x 3/2 = 30/8 (multiply the numerators and denominators separately)
Step 3: Simplify the Fraction
Finally, we need to simplify the fraction.
- 30/8 = 15/4 (divide both the numerator and denominator by their greatest common divisor, which is 2)
The Answer
Therefore, 2 x 1 1/4 x 1 1/2 as a fraction is equal to 15/4.
By following these steps, you can convert any mixed measurement to a fraction. Remember to break down the problem, convert mixed measurements to improper fractions, multiply the fractions, and simplify the final answer.
