https://file.aiquickdraw.com/mathbot/file/1727397215068mfejx760.jpg

I see that you've uploaded an image containing a worksheet on "Rational Fraction Operations." Let me go over the problems and solutions on the sheet to help with any corrections or clarifications.

### 1. \(-2 \frac{2}{3} + (-\frac{3}{4})\)
   - First, convert the mixed number \(-2 \frac{2}{3}\) to an improper fraction:  
     \[ -2 \frac{2}{3} = -\frac{8}{3} \]
   - Now add \(-\frac{8}{3} + (-\frac{3}{4})\).
   - To add fractions, find a common denominator:
     \[ \frac{8}{3} = \frac{32}{12}, \quad \frac{3}{4} = \frac{9}{12} \]
     Therefore:
     \[ -\frac{32}{12} + -\frac{9}{12} = -\frac{41}{12} \]
     This is approximately \(-3 \frac{5}{12}\).

### 2. \(\left(-\frac{3}{4}\right) \times (-10)\)
   - Multiply \(-\frac{3}{4} \times (-10)\):
     \[ \frac{3}{4} \times 10 = \frac{30}{4} = 7.5 \]

### 3. \(-3 \frac{1}{2} - \left(-1 \frac{2}{3}\right)\)
   - Convert mixed numbers to improper fractions:
     \[ -3 \frac{1}{2} = -\frac{7}{2}, \quad -1 \frac{2}{3} = -\frac{5}{3} \]
   - Now subtract:
     \[ -\frac{7}{2} - (-\frac{5}{3}) = -\frac{7}{2} + \frac{5}{3} \]
   - Find a common denominator:
     \[ -\frac{7}{2} = -\frac{21}{6}, \quad \frac{5}{3} = \frac{10}{6} \]
     Therefore:
     \[ -\frac{21}{6} + \frac{10}{6} = -\frac{11}{6} \]
     Which simplifies to \(-1 \frac{5}{6}\).

### 4. \(\left(-\frac{1}{4}\right) \times (-2.5)\)
   - Multiply \(-\frac{1}{4} \times -2.5\):
     \[ \frac{1}{4} \times 2.5 = \frac{2.5}{4} = 0.625 \]

### 5. \(15 \div \left(-\frac{3}{5}\right)\)
   - Division by a fraction is the same as multiplying by its reciprocal:
     \[ 15 \times -\frac{5}{3} = -25 \]

### 6. \(-1 \frac{1}{4} + 4 \frac{5}{6}\)
   - Convert the mixed numbers to improper fractions:
     \[ -1 \frac{1}{4} = -\frac{5}{4}, \quad 4 \frac{5}{6} = \frac{29}{6} \]
   - Find a common denominator:
     \[ -\frac{5}{4} = -\frac{15}{12}, \quad \frac{29}{6} = \frac{58}{12} \]
     Therefore:
     \[ -\frac{15}{12} + \frac{58}{12} = \frac{43}{12} \]
     Which is \(3 \frac{7}{12}\).

---

Would you like to go over any specific problem in more detail or have any further questions?

Here are 5 related questions for practice:
1. How do you convert mixed numbers to improper fractions?
2. What are the steps to find a common denominator between two fractions?
3. How do you multiply a fraction by a decimal?
4. How do you handle negative signs when adding or subtracting fractions?
5. What is the process for dividing fractions?

**Tip**: When adding or subtracting fractions, always simplify the fractions first and make sure to find the least common denominator for efficiency!

Worksheet on Rational Fraction Operations with problems involving addition, subtraction, multiplication, and division of fractions.

A detailed worksheet on rational fraction operations including problems with mixed numbers, involving addition, subtraction, multiplication, and division of fractions. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation