1 1/3 x 1 3/5 as a Fraction
In this article, we will explore how to multiply two mixed numbers, specifically 1 1/3 and 1 3/5, and express the result as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert both mixed numbers to improper fractions.
1 1/3
- The whole number part is 1.
- The fraction part is 1/3.
- To convert to an improper fraction, multiply the whole number part by the denominator (3) and add the numerator (1).
- So, 1 1/3 = (1 × 3) + 1 / 3 = 4/3.
1 3/5
- The whole number part is 1.
- The fraction part is 3/5.
- To convert to an improper fraction, multiply the whole number part by the denominator (5) and add the numerator (3).
- So, 1 3/5 = (1 × 5) + 3 / 5 = 8/5.
Step 2: Multiply the Fractions
Now that we have both numbers as improper fractions, we can multiply them.
- Multiply the numerators (4 and 8): 4 × 8 = 32.
- Multiply the denominators (3 and 5): 3 × 5 = 15.
- So, the product of the fractions is 32/15.
Final Answer
1 1/3 × 1 3/5 = 32/15
There you have it! The product of 1 1/3 and 1 3/5 as a fraction is 32/15.
