Question

Convert the mixed number to an improper fraction. $$ -3 \frac{1}{5} $$

   Convert the mixed number to an improper fraction.
$$
-3 \frac{1}{5}
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 4, Problem 52

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Solved by Expert Michelle Nguyen

07/26/2020

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-3 * 5 = -15 Show more…

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Convert the mixed number to an improper fraction. $$ -3 \frac{1}{5} $$

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Key Concepts

Mixed Number

A mixed number is a numerical expression that combines a whole number and a proper fraction. This format is often used to represent values that are greater than the whole number but not evenly divisible by the denominator of the fraction.

Improper Fraction

An improper fraction is a fraction where the numerator is equal to or greater than the denominator, meaning the value of the fraction is equal to or exceeds one whole. This format is particularly useful for mathematical operations such as multiplication and division.

Conversion Process

The conversion process from a mixed number to an improper fraction involves multiplying the whole number part by the denominator, adding the numerator from the fractional part, and writing the result as the numerator over the original denominator. This systematic approach simplifies further calculations.

Handling Negative Values

When converting negative mixed numbers, it is important to correctly apply the negative sign to the entire converted fraction. The magnitude is first processed through the conversion, and then the negative sign is applied to ensure that the value of the fraction reflects the proper sign.

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