https://file.aiquickdraw.com/mathbot/file/17260986835081fzuggu7.jpg

The expression given in the image is:

\[
-6 \frac{9}{10} \times -\frac{3}{4}
\]

### Step 1: Convert the mixed number to an improper fraction.
First, convert \(-6 \frac{9}{10}\) into an improper fraction:

\[
-6 \frac{9}{10} = -\frac{60 + 9}{10} = -\frac{69}{10}
\]

### Step 2: Multiply the fractions.
Now, multiply the two fractions:

\[
- \frac{69}{10} \times - \frac{3}{4}
\]

Since both fractions are negative, multiplying them results in a positive value. Now, multiply the numerators and the denominators:

\[
\frac{69 \times 3}{10 \times 4} = \frac{207}{40}
\]

### Step 3: Simplify the result (if possible).
\(\frac{207}{40}\) cannot be simplified further, but we can express it as a mixed number.

\[
\frac{207}{40} = 5 \frac{7}{40}
\]

So, the result is:

\[
5 \frac{7}{40}
\]

Would you like a more detailed explanation or have any further questions?

### Related questions:
1. How do you convert improper fractions into mixed numbers?
2. What happens when multiplying two negative numbers?
3. How can you simplify fractions after multiplication?
4. How do you multiply fractions with whole numbers?
5. Can improper fractions always be simplified?

### Tip:
Always check if the final fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and the denominator.

Learn how to multiply a mixed number and a fraction: -6 9/10 and -3/4. This problem involves converting mixed numbers to improper fractions, multiplying fractions, and simplifying the result. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation