Multiply 3/7 by 9/10.

To multiply 3/7 by 9/10, you multiply the numerators together and then multiply the denominators together.

(3/7) * (9/10) = (3 * 9) / (7 * 10) = 27/70

Therefore, 3/7 multiplied by 9/10 equals 27/70.

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

To multiply a fraction by a whole number, you multiply the numerator of the fraction by the whole number and keep the denominator the same.

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

To write the answer as a mixed number in simplest form, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3 in this case.

-12/9 simplifies to -4/3.

To convert this improper fraction into a mixed number, we divide the numerator (-4) by the denominator (3):

-4 ÷ 3 = -1 remainder 1

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

incorrect

Apologies for the mistake.

To multiply 4/9 by -3, you simply multiply the numerators together and multiply the denominators together.

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

To simplify the fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 3 in this case.

-12/9 simplifies to -4/3.

Therefore, the answer is -4/3.

stop overthinking still incorrect

Apologies for the confusion. Let me provide the correct solution.

To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.

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

Now, we can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3 in this case.

-12/9 simplifies to -4/3.

However, the question asks us to write the answer as a mixed number in simplest form.

To do that, we divide the numerator (-4) by the denominator (3):

-4 ÷ 3 = -1 remainder 1

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