Simplifying Fractions and Expressions

The video tutorial explains how to evaluate a mathematical expression by substituting given values for variables and simplifying the resulting fraction. It covers the order of operations, simplifying the numerator and denominator separately, and reducing the fraction to its simplest form. The tutorial also demonstrates verifying the result using a graphing calculator to ensure accuracy.

What values are substituted for a, b, c, and d in the expression?

• a = 24, b = 6, c = 39, d = 7

• a = 39, b = 7, c = 24, d = 6

• a = 6, b = 24, c = 7, d = 39

• a = 7, b = 39, c = 6, d = 24

What is the result of the numerator after substitution?

• 46

• 24

• 39

• 7

What is the result of the denominator after substitution?

• -24

• 6

• 18

• -18

What is the initial fraction form of the expression before simplification?

• 46 over -18

• 7 over 39

• 39 over 7

• 24 over 6

What common factor is used to simplify the fraction?

• 7

• 3

• 5

• 2

What is the simplified form of the fraction?

• -46/18

• 46/18

• 23/9

• -23/9

What is the only common factor between 23 and 9?

• 1

• 2

• 3

• 9

What does the calculator initially display when the expression is entered?

• The exact fraction

• An error message

• A whole number

• A rounded decimal value

What steps are taken to convert the decimal to a fraction on the calculator?

• Press mode, enter, enter

• Press clear, enter, enter

• Press math, enter, enter

• Press shift, enter, enter

What is the final verified answer displayed by the calculator?

• -23/9

• 46/18

• 23/9

• -46/18