Multiply 3/7 by 9/10

.(1 point)

The product of 3/7 and 9/10 is (3/7) * (9/10) = (3*9) / (7*10) = 27/70.

To multiply 2/3 by 1 1/4, we need to convert the mixed number 1 1/4 into an improper fraction.

1 1/4 = (4*1 + 1) / 4 = 5/4

Now we can multiply:

(2/3) * (5/4) = (2*5) / (3*4) = 10/12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:

10 ÷ 2 / 12 ÷ 2 = 5/6

So, the answer in simplest form is 5/6.

Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.(1 point)

To multiply 4/9 by -3, we can multiply the numerators and denominators:

(4/9) * (-3) = (4 * -3) / 9 = -12/9

To express -12/9 as a mixed number, we need to divide the numerator by the denominator:

-12 ÷ 9 = -1 remainder -3

Therefore, the answer is -1 and -3/9 as a mixed number in simplest form. We can simplify the fraction -3/9 by dividing both the numerator and denominator by their greatest common factor, which is 3:

-3 ÷ 3 / 9 ÷ 3 = -1/3

So, the answer as a mixed number in simplest form is -1 1/3.

Multiply 2/3 by 1 1/4. Write the answer in simplest form.(1 point)

To multiply 9.6 by 0.2, you can simply multiply the two numbers together:

9.6 * 0.2 = 1.92

Therefore, the answer is 1.92 as a decimal.

27/20 simplified

The fraction 27/20 cannot be further simplified as the numerator and denominator do not share a common factor other than 1. Thus, 27/20 is already in its simplest form.

Multiply 49 by −3. Write the answer as a mixed number in simplest form.(1 point)

To multiply 49 by -3, you can simply multiply the two numbers together: 49 * (-3) = -147.

As the question asks for the answer to be expressed as a mixed number in simplest form, we can write -147 as a mixed number by dividing -147 by 3.

-147 ÷ 3 = -49 with a remainder of 0.

Therefore, the answer is -49 in its simplest form, as a mixed number.