Question

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

Answer 1

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

Answer 2

incorrect

Answer 3

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

Answer 4

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

Answer 5

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 6

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 7

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 8

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 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:

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