Math Problem Statement

11/15+(-3/4)

Solution

To solve 1115+(34)\frac{11}{15} + \left(-\frac{3}{4}\right):

Step 1: Find a common denominator

The denominators are 15 and 4. The least common denominator (LCD) is 60.

Convert each fraction to have a denominator of 60: 1115=4460and34=4560.\frac{11}{15} = \frac{44}{60} \quad \text{and} \quad -\frac{3}{4} = -\frac{45}{60}.

Step 2: Add the fractions

Now add the fractions: 4460+(4560)=444560=160.\frac{44}{60} + \left(-\frac{45}{60}\right) = \frac{44 - 45}{60} = \frac{-1}{60}.

Final Answer:

1115+(34)=160.\frac{11}{15} + \left(-\frac{3}{4}\right) = -\frac{1}{60}.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

  1. How do you determine the least common denominator of two numbers?
  2. What are other methods to add or subtract fractions with different denominators?
  3. How do you simplify complex fractions?
  4. How can you convert improper fractions into mixed numbers?
  5. What are the practical applications of adding fractions?

Tip: Always simplify fractions at the end to ensure they are in their lowest terms!

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Math Problem Analysis

Mathematical Concepts

Fractions
Addition and Subtraction of Fractions
Least Common Denominator

Formulas

Finding the least common denominator (LCD) of two fractions
Converting fractions to have the same denominator
Addition/Subtraction of fractions: a/b + c/d = (ad + bc)/bd

Theorems

Arithmetic operations on fractions

Suitable Grade Level

Grades 5-7