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(2-1/3)(2-3/5)

3 min read Jun 16, 2024
(2-1/3)(2-3/5)

Multiplying Mixed Numbers: (2-1/3)(2-3/5)

This article will guide you through the process of multiplying the mixed numbers (2-1/3) and (2-3/5).

Converting to Improper Fractions

The first step is to convert both mixed numbers into improper fractions.

  • (2-1/3): To convert this, multiply the whole number (2) by the denominator of the fraction (3) and add the numerator (1). This gives us 6 + 1 = 7. Keep the same denominator (3). So, 2-1/3 becomes 7/3.
  • (2-3/5): Follow the same process. Multiply the whole number (2) by the denominator (5) and add the numerator (3). This gives us 10 + 3 = 13. Keep the same denominator (5). So, 2-3/5 becomes 13/5.

Now our problem looks like this: (7/3) * (13/5)

Multiplying Fractions

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

  • Numerators: 7 * 13 = 91
  • Denominators: 3 * 5 = 15

This gives us 91/15.

Converting Back to a Mixed Number

Since 91/15 is an improper fraction, we need to convert it back to a mixed number.

  • Divide the numerator (91) by the denominator (15): 91 ÷ 15 = 6 with a remainder of 1.
  • The quotient (6) becomes the whole number of the mixed number.
  • The remainder (1) becomes the numerator of the fraction.
  • The denominator (15) stays the same.

Therefore, 91/15 is equivalent to 6-1/15.

Conclusion

By following these steps, we have successfully multiplied the mixed numbers (2-1/3) and (2-3/5), obtaining a final answer of 6-1/15.

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