Multiplying Mixed Numbers: 4 1/2 x 7 1/5
In this article, we will learn how to multiply two mixed numbers: 4 1/2 and 7 1/5. Multiplying mixed numbers can be a bit challenging, but with the right steps, you can master this skill.
Converting Mixed Numbers to Improper Fractions
Before we can multiply the mixed numbers, we need to convert them to improper fractions.
4 1/2
To convert 4 1/2 to an improper fraction, we multiply the whole number part (4) by the denominator (2) and then add the numerator (1):
4 × 2 = 8 8 + 1 = 9
So, 4 1/2 = 9/2
7 1/5
To convert 7 1/5 to an improper fraction, we multiply the whole number part (7) by the denominator (5) and then add the numerator (1):
7 × 5 = 35 35 + 1 = 36
So, 7 1/5 = 36/5
Multiplying the Improper Fractions
Now that we have converted both mixed numbers to improper fractions, we can multiply them:
9/2 × 36/5
To multiply fractions, we multiply the numerators (9 and 36) and multiply the denominators (2 and 5):
9 × 36 = 324 2 × 5 = 10
So, 9/2 × 36/5 = 324/10
Simplifying the Result
To simplify the resulting fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 324 and 10 is 2. So, we divide both numbers by 2:
324 ÷ 2 = 162 10 ÷ 2 = 5
Therefore, 4 1/2 x 7 1/5 = 162/5
And that's the result! By following these steps, you can multiply mixed numbers with ease.
