Math Problem Statement

Solve the expression: 9/5 + 4/5 + 4/5 + 7/3

Solution

The image shows the following expression involving fractions:

95+45+45+73\frac{9}{5} + \frac{4}{5} + \frac{4}{5} + \frac{7}{3}

Let's break this down step by step:

  1. First, add the fractions with the common denominator 55: 95+45+45=9+4+45=175\frac{9}{5} + \frac{4}{5} + \frac{4}{5} = \frac{9+4+4}{5} = \frac{17}{5}

  2. Now add the fraction 73\frac{7}{3} to 175\frac{17}{5}. To add these fractions, we need a common denominator:

    • The least common denominator (LCD) of 5 and 3 is 15.
    • Convert both fractions to have a denominator of 15: 175=17×35×3=5115,73=7×53×5=3515\frac{17}{5} = \frac{17 \times 3}{5 \times 3} = \frac{51}{15}, \quad \frac{7}{3} = \frac{7 \times 5}{3 \times 5} = \frac{35}{15}
  3. Now add these two fractions: 5115+3515=51+3515=8615\frac{51}{15} + \frac{35}{15} = \frac{51+35}{15} = \frac{86}{15}

Final answer:

The value of the expression is 8615\frac{86}{15}.

Would you like more details or have any questions?

Here are some related questions to consider:

  1. How can we convert improper fractions into mixed numbers?
  2. What are the steps for finding the least common denominator between two fractions?
  3. How do you simplify fractions after addition?
  4. How can you multiply or divide fractions with different denominators?
  5. What are some other methods for adding fractions with unlike denominators?

Tip: Always simplify fractions when possible to keep calculations clean and accurate.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Fractions
Addition of Fractions
Least Common Denominator

Formulas

\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}
Least Common Denominator

Theorems

Least Common Denominator Theorem
Fraction Addition Theorem

Suitable Grade Level

Grades 6-8