Question

Evaluate each expression. $\frac{1}{3}+\frac{3}{4}$

   Evaluate each expression.
$\frac{1}{3}+\frac{3}{4}$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 7, Problem 75

Instant Answer

Solved by Expert Emily Schilz

03/18/2020

Step 1

The least common multiple of 3 and 4 is 12, so we will use 12 as our common denominator. Show more…

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Evaluate each expression. $\frac{1}{3}+\frac{3}{4}$

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Key Concepts

Simplifying Fractions

Simplifying fractions is the process of reducing a fraction to its simplest form by dividing the numerator and the denominator by their greatest common divisor. This step is often performed after operations like addition to present the final result in the simplest terms.

Least Common Multiple (LCM)

The least common multiple of the denominators is often used to find the smallest common denominator. Using the LCM minimizes the need for additional simplification after the arithmetic operation, making it a pivotal tool in fraction operations.

Fraction Addition

Fraction addition is the process of combining two or more fractions by ensuring that they share a common denominator. This involves converting the fractions into equivalent forms with the same denominator, then adding their numerators while keeping the denominator unchanged.

Common Denominator

A common denominator is required to add or subtract fractions; it is the shared multiple of each fraction's denominator. Converting fractions to have a common denominator enables direct addition or subtraction of the numerators, streamlining the operation.

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