1 1/3 X 7 As A Fraction

2 min read Jun 17, 2024
1 1/3 X 7 As A Fraction

Multiplying a Mixed Number and a Whole Number: 1 1/3 x 7

This article will guide you through the process of multiplying a mixed number, 1 1/3, by a whole number, 7.

Converting Mixed Numbers to Fractions

The first step is to convert the mixed number, 1 1/3, into a fraction. To do this:

  1. Multiply the whole number by the denominator: 1 x 3 = 3
  2. Add the numerator: 3 + 1 = 4
  3. Keep the same denominator: 4/3

Therefore, 1 1/3 is equivalent to 4/3.

Multiplying Fractions

Now, we have the following multiplication:

4/3 x 7

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

(4 x 7) / (3 x 1)

This simplifies to:

28/3

Converting Back to a Mixed Number

The final step is to convert the improper fraction 28/3 back into a mixed number.

  1. Divide the numerator by the denominator: 28 ÷ 3 = 9 with a remainder of 1.
  2. The quotient becomes the whole number: 9
  3. The remainder becomes the numerator: 1
  4. The denominator stays the same: 3

Therefore, 28/3 is equivalent to 9 1/3.

Conclusion

The product of 1 1/3 and 7 is 9 1/3.

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