Simplifying Fractions and Operations

This video tutorial explains how to simplify expressions involving signed fractions. It covers the order of operations, focusing on simplifying inside parentheses first. The tutorial demonstrates finding the least common denominator to add fractions and then simplifies the resulting expression. It also explains how to multiply fractions, highlighting the importance of recognizing the sign of the product. The video concludes with a discussion on the equivalence of negative fractions.

What is the first step in simplifying the expression 2/3 + 1/4 x -2/3?

• Add 2/3 and 1/4

• Find the least common denominator

• Multiply 1/4 and -2/3

• Simplify inside the parentheses

Why is it necessary to find the least common denominator when adding fractions?

• To change the numerators

• To simplify the multiplication

• To ensure the fractions have the same denominator

• To make the fractions larger

What is the least common denominator of 2/3 and 1/4?

• 12

• 6

• 16

• 8

After converting to a common denominator, what is the sum of 8/12 and 3/12?

• 10/12

• 11/12

• 12/12

• 9/12

What common factor is identified between the numerators and denominators before simplifying the product?

• 2

• 4

• 6

• 3

What is the sign of the product when multiplying a positive fraction by a negative fraction?

• Negative

• Undefined

• Zero

• Positive

What is the purpose of simplifying fractions before multiplying?

• To make the fractions equal

• To change the sign of the fractions

• To ensure the product is in simplest form

• To make the fractions larger

What is the final simplified product of 11/12 x -2/3?

• -11/18

• 11/18

• 22/36

• -22/36

How can you express a negative fraction to remind yourself of its sign?

• By placing the negative sign in both numerator and denominator

• By placing the negative sign outside the fraction

• By placing the negative sign in the numerator

• By placing the negative sign in the denominator

What is the equivalent expression for a fraction with a negative sign in the numerator?

• A fraction with a negative sign in the denominator

• A fraction with a negative sign outside

• A positive fraction

• A fraction with a negative sign in both numerator and denominator