Question

Simplify. $$-\frac{1}{2}+\frac{3}{8} \div\left(-\frac{3}{4}\right)$$

   Simplify.
$$-\frac{1}{2}+\frac{3}{8} \div\left(-\frac{3}{4}\right)$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 3, Problem 21

Instant Answer

Solved by Expert Ashley Hanson

06/23/2020

Step 1

The division of two fractions can be done by multiplying the first fraction by the reciprocal of the second fraction. So, we have: $$\frac{3}{8} \div\left(-\frac{3}{4}\right) = \frac{3}{8} \times \left(-\frac{4}{3}\right)$$ Show more…

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Simplify. $$-\frac{1}{2}+\frac{3}{8} \div\left(-\frac{3}{4}\right)$$

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Key Concepts

Simplification of Fractions

Simplifying fractions entails reducing them to their simplest form by canceling common factors from the numerator and denominator. This process makes the expression easier to understand and work with, ensuring that the result is in its most reduced and concise form.

Arithmetic with Negative Numbers

Handling negative numbers requires careful attention to their signs during operations like multiplication, division, and addition. Understanding how negative signs affect the outcome of each operation is crucial for correctly simplifying expressions that involve negative fractions.

Division of Fractions

Division of fractions involves multiplying by the reciprocal of the divisor. This means that to divide by a fraction, you invert the fraction (swap its numerator and denominator) and then multiply, which simplifies the process of working with fractional expressions.

Order of Operations

The order of operations is a fundamental principle in arithmetic that determines the sequence in which operations are performed. This rule (commonly remembered as PEMDAS/BODMAS) ensures that expressions containing multiple operations, such as division and addition, are evaluated consistently and correctly.

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