Question

In the following exercises, simplify. $$-\frac{63}{84}$$

   In the following exercises, simplify.
$$-\frac{63}{84}$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 4, Problem 588

Instant Answer

Solved by Expert Elizabeth Xu

04/30/2020

Step 1

We know that 63 is equal to 7 times 9 and 84 is equal to 7 times 12. So, we can write the fraction as follows: $$-\frac{63}{84} = -\frac{7 \times 9}{7 \times 12}$$ Show more…

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In the following exercises, simplify. $$-\frac{63}{84}$$

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Key Concepts

Simplifying Fractions

Simplifying fractions involves reducing a fraction by dividing both the numerator and the denominator by their greatest common divisor. This process results in an equivalent fraction expressed in its simplest form, making it easier to understand and work with.

Greatest Common Divisor (GCD)

The greatest common divisor is the highest number that divides both the numerator and the denominator without leaving a remainder. Finding the GCD is essential for simplifying fractions because it helps identify the common factor that can be used to reduce the fraction.

Handling Negative Signs in Fractions

When simplifying fractions, it is important to correctly manage negative signs. A negative sign can be associated with the numerator, the denominator, or placed in front of the fraction as a whole. Correct handling ensures that the value of the fraction remains accurate during the simplification process.

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