Multiplying Fractions: 1 1/7 x 3/5
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 an Improper Fraction
- 1 1/7 can be converted to an improper fraction by multiplying the whole number (1) by the denominator (7) and adding the numerator (1). This gives us 8.
- Keep the same denominator (7). So, 1 1/7 is equivalent to 8/7.
Step 2: Multiply the Fractions
- Now we have 8/7 x 3/5.
- To multiply fractions, multiply the numerators and the denominators.
- (8 x 3) / (7 x 5) = 24/35
Step 3: Simplify (if possible)
- The fraction 24/35 cannot be simplified further because the greatest common factor of 24 and 35 is 1.
Conclusion
Therefore, 1 1/7 x 3/5 = 24/35.