Converting Mixed Numbers to Fractions: 5 1/2 x 4 1/3 x 1 1/4
When working with mixed numbers, it's essential to understand how to convert them to fractions and perform arithmetic operations with ease. In this article, we'll explore how to multiply three mixed numbers: 5 1/2, 4 1/3, and 1 1/4, and express the result as a fraction.
Converting Mixed Numbers to Fractions
Before we dive into the multiplication, let's convert each mixed number to an improper fraction:
- 5 1/2 = 11/2
- 4 1/3 = 13/3
- 1 1/4 = 5/4
Multiplying Fractions
Now that we have the improper fractions, we can multiply them together:
(11/2) × (13/3) × (5/4) = ?
To multiply fractions, we multiply the numerators (numbers on top) and denominators (numbers on the bottom) separately:
Numerator: 11 × 13 × 5 = 715 Denominator: 2 × 3 × 4 = 24
So, the result of the multiplication is:
715/24
Simplifying the Fraction
Let's simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 715 and 24 is 1, so the fraction is already in its simplest form:
715/24
Therefore, the result of multiplying 5 1/2, 4 1/3, and 1 1/4 is 715/24.
