1 1/4 x 5 3/5 as a Fraction
In this article, we will discuss how to multiply mixed numbers and convert the result to a fraction.
Given Problem
The problem is to multiply 1 1/4 and 5 3/5 and express the result as a fraction.
Step-by-Step Solution
Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions.
1 1/4
1 1/4 = 5/4 (convert the mixed number to an improper fraction)
5 3/5
5 3/5 = 28/5 (convert the mixed number to an improper fraction)
Multiply the Fractions
Now, let's multiply the two fractions:
(5/4) × (28/5)
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), like this:
(5 × 28) / (4 × 5)
140 / 20
Simplify the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20.
140 ÷ 20 = 7 20 ÷ 20 = 1
So, the simplified fraction is:
7/1
Result
Therefore, the result of multiplying 1 1/4 and 5 3/5 is 7.
