Math Problem Statement

1/5 + (-3/4)

Solution

To solve 15+(34)\frac{1}{5} + \left( -\frac{3}{4} \right), follow these steps:

  1. Find a common denominator:
    The denominators are 5 and 4, so the least common denominator (LCD) is 20.

  2. Rewrite the fractions with the common denominator:
    15=420,34=1520\frac{1}{5} = \frac{4}{20}, \quad -\frac{3}{4} = \frac{-15}{20}

  3. Add the fractions:
    420+1520=41520=1120\frac{4}{20} + \frac{-15}{20} = \frac{4 - 15}{20} = \frac{-11}{20}

Thus, the final answer is 1120\frac{-11}{20}.

Would you like more details on any of the steps?

Here are 5 related questions to expand your understanding:

  1. How do you find the least common denominator for two fractions?
  2. What is the process for adding fractions with different denominators?
  3. How do negative fractions work in addition and subtraction?
  4. Can you simplify improper fractions, and when should you do so?
  5. How can you convert a fraction to a decimal?

Tip: When adding or subtracting fractions, always ensure the denominators are the same before proceeding.

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
Negative Numbers

Formulas

Common Denominator: LCD(a, b)
Addition of Fractions: (a/b) + (c/d) = (ad + bc) / bd

Theorems

Least Common Denominator Theorem

Suitable Grade Level

Grades 5-7