Question

Solve each $\frac{1}{5}+\frac{7}{10}+\frac{4}{15}$

   Solve each
$\frac{1}{5}+\frac{7}{10}+\frac{4}{15}$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 3, Problem 45

Instant Answer

Solved by Expert Nick Johnson

07/20/2020

Step 1

The common denominator for 5, 10, and 15 is 30. Show more…

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Solve each $\frac{1}{5}+\frac{7}{10}+\frac{4}{15}$

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Key Concepts

Simplifying Fractions

After performing operations with fractions, the resulting fraction is simplified by dividing both the numerator and denominator by their greatest common divisor. This process ensures that the fraction is expressed in its simplest form, making it easier to understand and work with.

Addition of Fractions

This concept involves adding fractions by ensuring that they have the same denominator. When fractions have a common denominator, their numerators can be directly added while the denominator remains unchanged, which is a fundamental operation in fraction arithmetic.

Common Denominator

The common denominator is a shared multiple of the original denominators and is crucial in the process of adding or subtracting fractions. By converting fractions to equivalent forms with the same denominator, the arithmetic operation becomes straightforward.

Least Common Multiple (LCM)

The least common multiple is used to find the smallest number that is a multiple of each of the denominators. This is especially important because using the LCM as the common denominator simplifies the process of converting fractions and often results in simpler calculation and simplified final results.

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