Multiplying Mixed Numbers and Fractions
This article will guide you through the steps of multiplying the mixed number 1 1/7 by the fraction 3/5.
Step 1: Convert the Mixed Number to a Fraction
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, we have 8/7 instead of 1 1/7.
Step 2: Multiply the Fractions
Now we have 8/7 * 3/5. To multiply fractions, we simply multiply the numerators and the denominators:
- Numerators: 8 * 3 = 24
- Denominators: 7 * 5 = 35
This gives us the result 24/35.
Conclusion
Therefore, 1 1/7 times 3/5 is 24/35.