Question

Evaluate each expression. $\frac{5}{6}-\frac{1}{5}$

   Evaluate each expression.
$\frac{5}{6}-\frac{1}{5}$

Algebra 2

Holliday, Luchin,… 1st Edition

Chapter 7, Problem 77

Instant Answer

Solved by Expert Emily Schilz

03/18/2020

Step 1

The least common multiple of 6 and 5 is 30. So we will convert both fractions to have this common denominator. Show more…

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Evaluate each expression. $\frac{5}{6}-\frac{1}{5}$

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Key Concepts

Fraction Arithmetic

This concept involves performing operations like addition, subtraction, multiplication, and division on fractions. It requires understanding how numerators and denominators interact during these operations and knowing that fractions represent parts of a whole.

Common Denominator

When subtracting fractions with different denominators, it is necessary to find a common denominator so that the fractions can be expressed in a compatible form. This is typically done by finding the least common multiple of the original denominators, which allows for a straightforward subtraction of the numerators.

Simplifying Fractions

After carrying out operations on fractions, it is often necessary to simplify the result. Simplifying involves reducing the fraction by dividing both the numerator and the denominator by their greatest common divisor, ensuring that the fraction is presented in its simplest form.

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