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

Responses

−6/5
-3/5
−6/50
−3/25

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To multiply fractions, you simply multiply the numerators together and the denominators together.

So, (-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50

However, the answer can be simplified further. Both -6 and 50 are divisible by 2, so we can divide both the numerator and denominator by 2.

-6/50 simplifies to -3/25.

Therefore, the answer in simplest form is -3/25.

Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.

To multiply a whole number by a fraction, you can convert the whole number to a fraction with a denominator of 1, and then multiply the fractions.

4 can be written as 4/1.

So, (4/1) * (-5/8) = (4 * -5) / (1 * 8) = -20/8.

To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 4.

-20/8 simplifies to -5/2.

Now, let's write the answer as a mixed number.

-5/2 can be written as -2 1/2.

Therefore, the answer in simplest form as a mixed number is -2 1/2.

Multiply 6.5 by 0.3. Write the answer as a decimal.

To multiply decimal numbers, you can simply multiply them as if they were whole numbers and then adjust the decimal point in the final answer.

6.5 * 0.3 = 19.5

Therefore, the answer as a decimal is 19.5.

Multiply −19.3 by 6.

To multiply decimal numbers, you can ignore the decimal points, multiply the numbers as if they were whole numbers, and then adjust the decimal point in the final answer.

-19.3 * 6 = -115.8

Therefore, the answer as a decimal is -115.8.

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

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