Let's break this problem down step by step:

The given expression is:

\[
-3 \times -1 \frac{7}{12} - \frac{9}{4}
\]

### Step 1: Convert the mixed number to an improper fraction
\[
-1 \frac{7}{12} = -\left(\frac{12 \times 1 + 7}{12}\right) = -\frac{19}{12}
\]

### Step 2: Multiply \(-3\) by \(-\frac{19}{12}\)
\[
-3 \times -\frac{19}{12} = \frac{3 \times 19}{12} = \frac{57}{12}
\]

### Step 3: Simplify \(\frac{57}{12}\)
\[
\frac{57}{12} = \frac{19}{4} \quad \text{(Dividing both numerator and denominator by 3)}
\]

### Step 4: Subtract \(\frac{9}{4}\) from \(\frac{19}{4}\)
Since both fractions have the same denominator:
\[
\frac{19}{4} - \frac{9}{4} = \frac{19 - 9}{4} = \frac{10}{4}
\]

### Step 5: Simplify \(\frac{10}{4}\)
\[
\frac{10}{4} = \frac{5}{2}
\]

### Final Answer:
\[
\frac{5}{2} \quad \text{or} \quad 2 \frac{1}{2}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you convert mixed numbers into improper fractions?
2. What is the rule for multiplying fractions by whole numbers?
3. How do you simplify fractions after addition or subtraction?
4. Why do denominators need to be the same for addition and subtraction of fractions?
5. How can improper fractions be converted back into mixed numbers?

**Tip**: Always simplify fractions at every step to make calculations easier!

Learn how to multiply and subtract mixed fractions with this detailed step-by-step solution to the problem -3 times -1 7/12 - 9/4. This problem covers key concepts like converting mixed numbers to improper fractions, multiplying fractions, and simplifying results. 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