1 1/4 x 1 1/2 as a Fraction
In this article, we will explore how to multiply two mixed numbers, specifically 1 1/4 and 1 1/2, and express the result as a fraction.
Converting Mixed Numbers to Improper Fractions
Before we can multiply these mixed numbers, we need to convert them to improper fractions.
1 1/4 = ? The mixed number 1 1/4 can be converted to an improper fraction by multiplying the whole number part (1) by the denominator (4) and then adding the numerator (1).
1 1/4 = (1 × 4 + 1) / 4 = 5 / 4
1 1/2 = ? Similarly, we can convert 1 1/2 to an improper fraction.
1 1/2 = (1 × 2 + 1) / 2 = 3 / 2
Multiplying the Fractions
Now that we have our fractions, we can multiply them.
(5 / 4) × (3 / 2) = ?
To multiply fractions, we multiply the numerators (5 and 3) and the denominators (4 and 2).
(5 × 3) / (4 × 2) = 15 / 8
So, the result of multiplying 1 1/4 and 1 1/2 is 15 / 8.
There you have it! We've successfully multiplied two mixed numbers and expressed the result as a fraction.
