1 2/9 Times 1 4/5

3 min read Jun 17, 2024
1 2/9 Times 1 4/5

Multiplying Mixed Numbers: 1 2/9 x 1 4/5

This article will guide you through the steps of multiplying the mixed numbers 1 2/9 and 1 4/5.

Understanding Mixed Numbers

Before we start, let's remember what mixed numbers are. They are a combination of a whole number and a fraction. For example, 1 2/9 represents one whole plus two-ninths.

Converting to Improper Fractions

The first step in multiplying mixed numbers is to convert them into improper fractions. To do this:

  1. Multiply the whole number by the denominator of the fraction. In 1 2/9, 1 x 9 = 9.
  2. Add the numerator. 9 + 2 = 11.
  3. Keep the same denominator. This gives us 11/9.

We apply the same process to 1 4/5: 1 x 5 = 5, 5 + 4 = 9, so 1 4/5 becomes 9/5.

Multiplying the Improper Fractions

Now that we have improper fractions, we can multiply them like any other fraction:

  1. Multiply the numerators. 11 x 9 = 99.
  2. Multiply the denominators. 9 x 5 = 45.

This gives us 99/45.

Simplifying the Answer

The final step is to simplify the improper fraction 99/45. We can do this by finding the greatest common factor (GCF) of the numerator and denominator, which is 9. Dividing both by 9, we get 11/5.

Converting Back to Mixed Number (Optional)

Since the answer is an improper fraction, we can convert it back to a mixed number:

  1. Divide the numerator by the denominator. 11 ÷ 5 = 2 with a remainder of 1.
  2. The quotient becomes the whole number. So we have 2.
  3. The remainder becomes the numerator of the fraction. The denominator stays the same. This gives us 2 1/5.

Conclusion

Therefore, 1 2/9 multiplied by 1 4/5 equals 11/5 or 2 1/5. Remember to always convert mixed numbers to improper fractions before multiplying, and simplify your answer if possible.

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