Textbook Question
Find each sum or difference. See Example 1. -2 - |-4|
508
views
0. Review of College Algebra
Solving Linear Equations
1:49 minutesProblem 41
Textbook Question
Find each product or quotient where possible. See Example 2. -5⁄2 ( 12⁄15 )
Verified step by step guidance1
Identify the problem as a multiplication of two fractions: \(-\frac{5}{2} \times \frac{12}{15}\).
Multiply the numerators together: \(-5 \times 12\) and multiply the denominators together: \(2 \times 15\) to get a new fraction.
Write the product as \(\frac{-5 \times 12}{2 \times 15}\), which simplifies to \(\frac{-60}{30}\) before reducing.
Simplify the fraction by dividing both numerator and denominator by their greatest common divisor (GCD).
Express the simplified fraction as the final product of the multiplication.
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Fractions
To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) × (c/d) = (a×c)/(b×d). This rule applies to both positive and negative fractions.
Recommended video:
4:02
Solving Linear Equations with Fractions
Simplifying Fractions
After multiplying, simplify the resulting fraction by dividing numerator and denominator by their greatest common divisor (GCD). Simplification makes the fraction easier to interpret and use.
Recommended video:
4:02Solving Linear Equations with Fractions
Handling Negative Signs in Multiplication
When multiplying fractions, a negative sign in either fraction affects the product's sign. Multiplying a negative by a positive yields a negative result, while multiplying two negatives yields a positive result.
Recommended video:
03:11Algebraic Operations on Vectors Example 1
Related Videos
Related Practice