Solving 1 1/7 x 3/5
This article will guide you through the steps of solving the multiplication problem 1 1/7 x 3/5.
Understanding Mixed Numbers
First, we need to understand that 1 1/7 is a mixed number. It represents a whole number (1) and a fraction (1/7).
Converting Mixed Numbers to Fractions
Before multiplying, we need to convert the mixed number into an improper fraction. To do this:
- Multiply the whole number by the denominator of the fraction: 1 x 7 = 7
- Add the numerator of the fraction to the result: 7 + 1 = 8
- Keep the same denominator: 8/7
Therefore, 1 1/7 is equivalent to 8/7.
Multiplying Fractions
Now we have the equation: 8/7 x 3/5.
To multiply fractions:
- Multiply the numerators: 8 x 3 = 24
- Multiply the denominators: 7 x 5 = 35
This gives us 24/35.
Simplifying the Answer
The fraction 24/35 cannot be simplified further as there are no common factors between the numerator and denominator.
Conclusion
Therefore, 1 1/7 x 3/5 = 24/35.