Multiply -2 1/2 by -1 3/5. Write the answer as a decimal.

5 answers

To multiply -2 1/2 by -1 3/5, we first convert the mixed numbers to improper fractions.

  1. Convert -2 1/2 to an improper fraction: \[ -2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2} \]

  2. Convert -1 3/5 to an improper fraction: \[ -1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5} \]

  3. Now multiply the two fractions: \[ -\frac{5}{2} \times -\frac{8}{5} \]

  4. When multiplying fractions, we multiply the numerators and the denominators: \[ = \frac{5 \times 8}{2 \times 5} = \frac{40}{10} \]

  5. Simplifying \(\frac{40}{10}\): \[ = 4 \]

Thus, the answer is \(4\) as a decimal: \[ \boxed{4.0} \]

That’s wrong

Let's carefully recalculate the multiplication of -2 1/2 by -1 3/5 step by step.

  1. Convert -2 1/2 to an improper fraction: \[ -2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2} \]

  2. Convert -1 3/5 to an improper fraction: \[ -1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5} \]

Now we will multiply these two improper fractions:

  1. Multiply the fractions: \[ -\frac{5}{2} \times -\frac{8}{5} = \frac{5 \times 8}{2 \times 5} \] The negative signs cancel out, yielding: \[ = \frac{40}{10} \]

  2. Simplifying \(\frac{40}{10}\): \[ = 4 \]

So the final answer is: \[ \boxed{4.0} \]

It appears my previous calculation was correct. If you believe it to be incorrect or if there's a specific part you'd like me to clarify, please let me know!

Is it 4.1?

Let's re-evaluate the multiplication of \(-2 \frac{1}{2}\) and \(-1 \frac{3}{5}\) again step by step to ensure accuracy.

  1. Convert the mixed numbers to improper fractions:

    • For \(-2 \frac{1}{2}\): \[ -2 \frac{1}{2} = -\left(2 \times 2 + 1\right)/2 = -\frac{5}{2} \]
    • For \(-1 \frac{3}{5}\): \[ -1 \frac{3}{5} = -\left(1 \times 5 + 3\right)/5 = -\frac{8}{5} \]
  2. Multiply the two fractions: \[ -\frac{5}{2} \times -\frac{8}{5} = \frac{5 \times 8}{2 \times 5} \] When you multiply the numbers: \[ = \frac{40}{10} \]

  3. Simplify the fraction: \[ = 4 \]

So, the final answer is \(4\) as a decimal: \[ \boxed{4.0} \]

It is not \(4.1\). If there’s anything specific you would like me to clarify or if you have a different interpretation of the problem, please let me know!

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