Let's solve the given expression step by step:

Given expression: 

\[ \frac{1}{2} + \frac{\frac{3}{5}}{\frac{1}{5}} + \frac{3}{4} \]

First, let's simplify \(\frac{\frac{3}{5}}{\frac{1}{5}}\):

\[ \frac{3}{5} \div \frac{1}{5} = \frac{3}{5} \times \frac{5}{1} = 3 \]

Now, substitute this back into the original expression:

\[ \frac{1}{2} + 3 + \frac{3}{4} \]

Next, let's find a common denominator for \(\frac{1}{2}\) and \(\frac{3}{4}\):

The common denominator is 4.

\[ \frac{1}{2} = \frac{2}{4} \]

So the expression becomes:

\[ \frac{2}{4} + 3 + \frac{3}{4} \]

Combine the fractions:

\[ \frac{2}{4} + \frac{3}{4} = \frac{5}{4} \]

Now add 3 to the sum:

\[ \frac{5}{4} + 3 = \frac{5}{4} + \frac{12}{4} = \frac{17}{4} \]

Thus, the final simplified form of the expression is:

\[ \frac{17}{4} \]

Would you like more details or have any questions?

Here are 5 numbered questions you might want to ask:

1. How do you find a common denominator?
2. Can you explain how to add fractions with different denominators?
3. What are some common mistakes to avoid when simplifying fractions?
4. How do you convert a fraction to a decimal?
5. Can you show how to simplify complex fractions?

**Tip:** Always remember to simplify complex fractions by dividing the numerator by the denominator before combining with other terms in the expression.

Learn how to simplify the expression 1/2 + 3/5 / 1/5 + 3/4 step-by-step. This problem involves operations with fractions, including finding a common denominator and adding fractions with different denominators. 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