Multiplying Fractions: 1 1/7 x 3/5
Multiplying fractions can seem intimidating, but it's actually a straightforward process. Let's break down how to multiply 1 1/7 by 3/5.
1. Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed number 1 1/7 into an improper fraction. To do this:
- Multiply the whole number (1) by the denominator (7): 1 * 7 = 7
- Add the numerator (1): 7 + 1 = 8
- Keep the same denominator (7): 8/7
Now our problem looks like this: 8/7 x 3/5
2. Multiply the Numerators and Denominators
Next, we simply multiply the numerators and the denominators:
- Numerators: 8 x 3 = 24
- Denominators: 7 x 5 = 35
This gives us 24/35.
3. Simplify (If Possible)
In this case, 24 and 35 share no common factors other than 1. This means our fraction is already in its simplest form.
Conclusion
Therefore, 1 1/7 x 3/5 = 24/35.
Remember, multiplying fractions is just a matter of multiplying the numerators and denominators. Don't forget to convert mixed numbers into improper fractions before multiplying!