https://file.aiquickdraw.com/mathbot/file/1730585752152c4os83kn.jpg

I'll solve these step-by-step, starting from question (6) to (10). Let me know if you'd like to focus on a particular problem or have detailed steps for each. Here are the solutions for each problem:

---

### Problem (6)
\[
1 \frac{1}{6} \div \left(-2 \frac{5}{8}\right) - \frac{7}{18}
\]

1. Convert to improper fractions:
   - \(1 \frac{1}{6} = \frac{7}{6}\)
   - \(-2 \frac{5}{8} = -\frac{21}{8}\)

2. Rewrite the expression:
   \[
   \frac{7}{6} \div \left(-\frac{21}{8}\right) - \frac{7}{18}
   \]

3. Division of fractions (multiply by the reciprocal):
   \[
   \frac{7}{6} \times \left(-\frac{8}{21}\right) = -\frac{56}{126} = -\frac{28}{63} = -\frac{4}{9}
   \]

4. Subtract \(\frac{7}{18}\) from \(-\frac{4}{9}\):
   - Convert \(-\frac{4}{9}\) to \(-\frac{8}{18}\).
   - \(-\frac{8}{18} - \frac{7}{18} = -\frac{15}{18} = -\frac{5}{6}\)

**Answer:** \(-\frac{5}{6}\)

---

### Problem (7)
\[
-1 \frac{5}{6} - 2 \frac{1}{12} \div \left(-3 \frac{3}{4}\right)
\]

1. Convert to improper fractions:
   - \(-1 \frac{5}{6} = -\frac{11}{6}\)
   - \(2 \frac{1}{12} = \frac{25}{12}\)
   - \(-3 \frac{3}{4} = -\frac{15}{4}\)

2. Rewrite the expression:
   \[
   -\frac{11}{6} - \frac{25}{12} \div \left(-\frac{15}{4}\right)
   \]

3. Division of fractions (multiply by the reciprocal):
   \[
   \frac{25}{12} \times -\frac{4}{15} = -\frac{100}{180} = -\frac{5}{9}
   \]

4. Simplify:
   \[
   -\frac{11}{6} - -\frac{5

Solve the following fraction problems:
1. 1 1/6 ÷ (-2 5/8) - 7/18
2. -1 5/6 - 2 1/12 ÷ (-3 3/4)
3. -2 2/5 ÷ (-6) - (-1 1/4)
4. -1/18 - (-3/8) ÷ (-3/10) x 1 1/3
5. 3 1/2 x (-1/14) - 2 2/7 x (-1 3/4)

This page provides detailed solutions to complex fraction problems involving mixed numbers, division, multiplication, and subtraction 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