Multiply Fractions & Decimals Quick Check

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Question
Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
Responses

3/5

−6/5

−6/50

−3/25

1 answer

To multiply \(-\frac{2}{5}\) by \(\frac{3}{10}\), you multiply the numerators together and the denominators together:

\[ -\frac{2}{5} \times \frac{3}{10} = \frac{-2 \times 3}{5 \times 10} = \frac{-6}{50} \]

Next, we need to simplify \(-\frac{6}{50}\).

Both the numerator and the denominator can be divided by 2:

\[ -\frac{6 \div 2}{50 \div 2} = -\frac{3}{25} \]

So, the answer in simplest form is \(-\frac{3}{25}\).

The correct response is: −3/25.