Multiply 3/7 by 9/10 .(1 point).....

Answer 1

To multiply the fractions \( \frac{3}{7} \) and \( \frac{9}{10} \), you multiply the numerators together and the denominators together:

\[ \frac{3}{7} \times \frac{9}{10} = \frac{3 \times 9}{7 \times 10} = \frac{27}{70} \]

So, \( \frac{3}{7} \times \frac{9}{10} = \frac{27}{70} \).

Answer 2

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

Answer 3

To multiply the fraction \( \frac{4}{9} \) by \(-3\), you can first express \(-3\) as a fraction. This is done by writing it as \(-\frac{3}{1}\). Now, you can multiply the fractions:

\[ \frac{4}{9} \times -\frac{3}{1} = \frac{4 \times -3}{9 \times 1} = \frac{-12}{9} \]

Next, simplify \(\frac{-12}{9}\):

Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 3:

\[ \frac{-12 \div 3}{9 \div 3} = \frac{-4}{3} \]

Now, to write \(\frac{-4}{3}\) as a mixed number, divide 4 by 3. It goes 1 time, with a remainder of 1:

\[ -4 \div 3 = -1 \quad \text{remainder } 1 \]

This gives us:

\[ -1 \frac{1}{3} \]

Thus, the answer in simplest mixed number form is:

\[ -1 \frac{1}{3} \]

Answer 4

incorrect

Answer 5

Let's go through the solution step-by-step again to ensure we get the correct answer.

1. Multiplication: We start with the fraction \(\frac{4}{9}\) and multiply it by \(-3\): \[ \frac{4}{9} \times -3 = \frac{4}{9} \times -\frac{3}{1} = \frac{4 \times -3}{9 \times 1} = \frac{-12}{9} \]

2. Simplification: To simplify \(\frac{-12}{9}\), we divide both the numerator and denominator by their greatest common divisor, which is 3: \[ \frac{-12 \div 3}{9 \div 3} = \frac{-4}{3} \]

3. Convert to Mixed Number: The improper fraction \(\frac{-4}{3}\) can be converted to a mixed number:

   • Divide 4 by 3, which gives 1 with a remainder of 1: \[ -4 \div 3 = -1 \quad \text{remainder } 1 \]

   This can be expressed as: \[ -1 \frac{1}{3} \]

Upon review, the steps show that the initial calculations were indeed correct for multiplying and simplifying the fraction.

Final Answer: The result of multiplying \(\frac{4}{9}\) by \(-3\) and expressing it as a mixed number in simplest form is:

\[ -1 \frac{1}{3} \]

If there's a specific point of confusion or a detail I've missed in your question, please let me know!

Answer 6

nvm i wrote it incorrectly cuz u put it in that robot launguage i dont understand

Answer 7

I apologize for any confusion! Let's go over the multiplication of \( \frac{4}{9} \) by \(-3\) in a simpler, more straightforward way without using fractions extensively.

Step-by-Step Explanation:

1. You're multiplying \( \frac{4}{9} \) by -3.

2. To do this, simply take \( \frac{4}{9} \) and multiply it by \(-3\):

   \[ \frac{4 \times -3}{9} \]

   This means you multiply 4 by -3, which equals -12:

   \[ = \frac{-12}{9} \]

3. Now, simplify \(-\frac{12}{9}\):

   • Both 12 and 9 can be divided by 3. So:

   \[ \frac{-12 \div 3}{9 \div 3} = \frac{-4}{3} \]

4. Now convert \(-\frac{4}{3}\) to a mixed number:

   • When you divide 4 by 3, it equals 1 with a remainder of 1. So:

   \[ \frac{-4}{3} = -1 \frac{1}{3} \]

Final Answer:

The answer, in mixed number form, is:

\[ -1 \frac{1}{3} \]

If there's anything specific you'd like clarified or further explained, just let me know!

Answer 8

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

Answer 9

To multiply \( \frac{2}{3} \) by \( 1 \frac{1}{4} \), follow these steps:

Step 1: Convert the Mixed Number to an Improper Fraction

First, convert \( 1 \frac{1}{4} \) into an improper fraction:

\[ 1 \frac{1}{4} = \frac{4 \times 1 + 1}{4} = \frac{4 + 1}{4} = \frac{5}{4} \]

Step 2: Multiply the Fractions

Now, multiply \( \frac{2}{3} \) by \( \frac{5}{4} \):

\[ \frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12} \]

Step 3: Simplify the Result

Now, simplify \( \frac{10}{12} \):

Both 10 and 12 can be divided by 2:

\[ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} \]

Final Answer

The answer in simplest form is:

\[ \frac{5}{6} \]