To solve the expression \( 1 - \frac{1}{1 + \frac{3}{4 + \frac{1}{2 + \frac{1}{7}}}} \), we'll proceed step by step, starting from the innermost fraction and working our way out.

### Step 1: Simplify the innermost fraction
First, simplify the expression inside the innermost fraction:

\[
\frac{1}{7} \approx 0.142857
\]

### Step 2: Simplify the next fraction
Now, add this to 2:

\[
2 + \frac{1}{7} = 2 + 0.142857 = 2.142857
\]

### Step 3: Simplify the next fraction
Next, calculate the fraction with 3 in the numerator:

\[
\frac{1}{2.

Explore how to solve the complex fraction expression 1-{1÷[1+3÷(4+1÷(2+(1÷7)))]} with a detailed step-by-step solution. This problem involves key mathematical concepts such as fractions, algebra, and the order of operations (PEMDAS/BODMAS). 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