Exploring Mixed Expressions and Complex Fractions

What is a mixed expression composed of?

• A whole number and a fraction

• Two whole numbers

• Two fractions

• A decimal and a fraction

How do you convert a whole number to a fraction with a common denominator?

• Subtract the whole number from the fraction

• Multiply the whole number by the denominator of the fraction

• Divide the whole number by the fraction

• Add the whole number to the fraction

In the example with 6y over 4y + 8 plus 5y, what is the common denominator used?

• 6y

• 8y

• 5y

• 4y + 8

What is a complex fraction?

• A fraction with a decimal

• A fraction within a fraction

• A fraction with a whole number

• A fraction with an exponent

How do you handle a complex fraction when dividing?

• Subtract the numerator from the denominator

• Add the numerator and denominator

• Multiply by the reciprocal of the denominator

• Divide the numerator by the denominator

In the example with G cubed H over B all over GH cubed over B squared, what is the first step?

• Multiply by the reciprocal of the denominator

• Add the fractions

• Divide the fractions

• Subtract the fractions

What happens when you cancel out common terms in a fraction?

• The fraction remains the same

• The fraction becomes more complex

• The fraction is simplified

• The fraction is multiplied

In the final example, what is the simplified form of a + 7 over 4 times 10 over a^2 - 49?

• 10 over a + 7

• a + 7 over 10

• 4 over a^2 - 49

• 5 over 2(a - 7)

What is the result of simplifying x + 4 over x - 1 times 2x - 2 over x^2 + 6x + 8?

• 2 over x + 2

• x + 4 over x - 1

• x + 2 over 2

• x - 1 over x + 4

What is the final simplified form of a + 3 over a + 1 times a + 4?

• a + 4 over a + 1

• a + 3 over a + 4

• a + 1 over a + 3

• a + 3 over (a + 1)(a + 4)