https://file.aiquickdraw.com/mathbot/file/1727891733403va1qyd2k.jpg

Let's work through the given problem step-by-step.

### Problem:
**Work out** \( 1 \frac{3}{4} \div \frac{1}{5} \)  
**Give your answer as a fraction in its simplest form.**

### Step 1: Convert the Mixed Number to an Improper Fraction
The mixed number is \( 1 \frac{3}{4} \). To convert it into an improper fraction:
\[
1 \frac{3}{4} = \frac{4 \times 1 + 3}{4} = \frac{7}{4}
\]

### Step 2: Set Up the Division
The expression becomes:
\[
\frac{7}{4} \div \frac{1}{5}
\]

### Step 3: Convert Division to Multiplication by the Reciprocal
To divide by a fraction, multiply by its reciprocal:
\[
\frac{7}{4} \times \frac{5}{1} = \frac{7 \times 5}{4 \times 1} = \frac{35}{4}
\]

### Step 4: Simplify if Necessary
The fraction \( \frac{35}{4} \) is already in its simplest form.

### Final Answer
The answer is:
\[
\frac{35}{4}
\]

Do you have any questions, or would you like more details on a particular step?

### Related Questions:
1. How do you convert mixed numbers to improper fractions?
2. What is the process for dividing fractions?
3. Can division of fractions be applied to real-world problems?
4. What is a reciprocal, and how is it used in fraction operations?
5. How do you simplify a complex fraction?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor.

Work out 1 3/4 ÷ 1/5. Give your answer as a fraction in its simplest form.

Solve the division of 1 3/4 by 1/5 using improper fractions and multiplication by the reciprocal. This step-by-step solution covers key fraction operations, including converting mixed numbers and dividing fractions, ideal for Grades 5-7 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation