1 1 7 X 3 5 As A Fraction Calculator

3 min read Jun 17, 2024
1 1 7 X 3 5 As A Fraction Calculator

Fraction Calculator: Simplifying 1 1/7 x 3 5/8

This article will guide you through the process of multiplying mixed numbers, specifically 1 1/7 x 3 5/8, using a fraction calculator.

Converting Mixed Numbers to Improper Fractions

The first step in multiplying mixed numbers is to convert them into improper fractions. Here's how:

  1. Multiply the whole number by the denominator of the fraction.
    For 1 1/7: 1 x 7 = 7
  2. Add the numerator to the result. 7 + 1 = 8
  3. Keep the same denominator. This gives us 8/7.

Similarly, for 3 5/8:

  1. 3 x 8 = 24
  2. 24 + 5 = 29
  3. 29/8

Now, our multiplication problem becomes: 8/7 x 29/8

Multiplying Fractions

To multiply fractions, we simply multiply the numerators and the denominators:

(8/7) x (29/8) = (8 x 29) / (7 x 8) = 232/56

Simplifying the Fraction

The fraction 232/56 can be simplified by finding the greatest common factor (GCD) of the numerator and denominator, which is 8.

Dividing both numerator and denominator by 8:

232/8 = 29 56/8 = 7

Therefore, the simplified answer is 29/7.

Converting Back to a Mixed Number (Optional)

You can convert the improper fraction 29/7 back to a mixed number:

  1. Divide the numerator (29) by the denominator (7). 29 / 7 = 4 with a remainder of 1
  2. The quotient (4) becomes the whole number part of the mixed number.
  3. The remainder (1) becomes the numerator of the fraction.
  4. The denominator remains the same.

Therefore, 29/7 is equivalent to 4 1/7.

Conclusion

By using a fraction calculator and following the steps above, you can confidently multiply mixed numbers and express the answer in either an improper fraction or a mixed number. Remember to always simplify your answer to its simplest form.