Question

Add and simplify, if possible. $$\frac{1}{3}+\frac{1}{7}$$

   Add and simplify, if possible.
$$\frac{1}{3}+\frac{1}{7}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 4, Problem 27

Instant Answer

Solved by Expert James Kiss

07/20/2020

Step 1

The common denominator for 3 and 7 is 21. Show more…

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Add and simplify, if possible. $$\frac{1}{3}+\frac{1}{7}$$

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Key Concepts

Fractions

Fractions represent a part of a whole by using two numbers: the numerator, which indicates how many parts are taken, and the denominator, which indicates the total number of equal parts into which the whole is divided.

Common Denominator

When adding or subtracting fractions, it is necessary to have a common denominator so that the fractions refer to the same whole. This often involves finding the least common multiple of the original denominators to rewrite the fractions with a shared base.

Simplification

Simplification involves reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor, ensuring that the fraction is expressed in the lowest terms possible.

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