Multiplying Fractions: 1 1/7 x 3/5
This article will guide you through the process of multiplying the mixed number 1 1/7 by the fraction 3/5.
Converting the Mixed Number
First, we need to convert the mixed number 1 1/7 into an improper fraction. To do this, follow these steps:
- Multiply the whole number by the denominator: 1 x 7 = 7
- Add the numerator: 7 + 1 = 8
- Keep the same denominator: 8/7
Now our problem looks like this: 8/7 x 3/5
Multiplying Fractions
Multiplying fractions is straightforward:
- Multiply the numerators: 8 x 3 = 24
- Multiply the denominators: 7 x 5 = 35
This gives us the result 24/35.
Simplifying the Result
The fraction 24/35 is already in its simplest form, as there are no common factors between the numerator and denominator other than 1.
Final Answer
Therefore, 1 1/7 x 3/5 = 24/35.