Multiply -4/5 by -7. Write your answer in simplest form.

Question image

Understand the Problem

The question is asking us to perform the multiplication of the fraction -4/5 with -7 and express the result in its simplest form.

Answer

The result is $\frac{28}{5}$.
Answer for screen readers

The result of the multiplication is $\frac{28}{5}$.

Steps to Solve

  1. Identify the multiplication of the fraction by the whole number

We need to multiply the fraction $-\frac{4}{5}$ by $-7$.

  1. Convert the whole number to a fraction

To perform the multiplication, we can consider $-7$ as a fraction. Thus, we write $-7$ as $-\frac{7}{1}$.

  1. Perform the multiplication of the fractions

Now, we multiply the two fractions: $$ -\frac{4}{5} \times -\frac{7}{1} = \frac{4 \times 7}{5 \times 1} $$

  1. Calculate the numerators and denominators

Multiplying the numbers gives: $$ \frac{28}{5} $$

  1. Express in simplest form

The fraction $\frac{28}{5}$ is already in its simplest form since 28 and 5 have no common factors other than 1.

The result of the multiplication is $\frac{28}{5}$.

More Information

The answer $\frac{28}{5}$ is an improper fraction, which means the numerator is larger than the denominator. It can also be expressed as a mixed number: $5 \frac{3}{5}$.

Tips

  • A common mistake is forgetting that multiplying two negative numbers results in a positive number. Always remember that $(-a) \times (-b) = a \times b$.
  • Confusing the process of multiplying fractions with adding fractions. Ensure you multiply the numerators and denominators separately.
Thank you for voting!
Use Quizgecko on...
Browser
Browser