3 1/3 times 1 1/5
Introduction
In this article, we will learn how to multiply mixed numbers. Specifically, we will calculate the product of 3 1/3 and 1 1/5.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
3 1/3
To convert 3 1/3 to an improper fraction, we multiply the whole number part (3) by the denominator (3) and then add the numerator (1).
3 × 3 = 9 9 + 1 = 10
So, 3 1/3 is equal to 10/3.
1 1/5
To convert 1 1/5 to an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (1).
1 × 5 = 5 5 + 1 = 6
So, 1 1/5 is equal to 6/5.
Step 2: Multiply the Improper Fractions
Now that we have the improper fractions, we can multiply them.
10/3 × 6/5
To multiply fractions, we multiply the numerators (10 and 6) and multiply the denominators (3 and 5).
10 × 6 = 60 3 × 5 = 15
So, the product of 10/3 and 6/5 is 60/15.
Step 3: Simplify the Fraction
We can simplify the fraction 60/15 by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 60 and 15 is 15. So, we divide both numbers by 15.
60 ÷ 15 = 4 15 ÷ 15 = 1
The simplified fraction is 4/1, which is equal to 4.
Conclusion
Therefore, 3 1/3 times 1 1/5 is equal to 4.
