1 1/7 X 3/5 =

2 min read Jun 17, 2024
1 1/7 X 3/5 =

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:

  1. Multiply the whole number by the denominator of the fraction: 1 x 7 = 7
  2. Add the numerator of the fraction to the result: 7 + 1 = 8
  3. 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:

  1. Multiply the numerators: 8 x 3 = 24
  2. 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.