Understanding Complex Fractions

What defines a complex fraction?

• A fraction with other fractions in the numerator and/or denominator

• A fraction with a variable in the denominator

• A fraction with a whole number in the numerator

• A fraction with a decimal in the numerator

What is the purpose of multiplying a complex fraction by a 'fancy version of one'?

• To change the value of the fraction

• To eliminate the fractions within the fraction

• To make the fraction larger

• To add more fractions to the expression

In the first example, what is the least common denominator (LCD) used?

• z^2

• 15 XY

• 4 YZ

• 4 YZ^2

After simplifying the first example, what is the final expression?

• 5x^2 Z over 60x y^2

• 5x^2 Z over 12 y^2

• XZ over 12 y^2

• 20 X2 Y z^2 over 4 YZ

In the second example, what is the LCD used to simplify the complex fraction?

• X

• X^2

• 16

• 4X

What is the simplified form of the second example's complex fraction?

• x + 4 over x - 4

• x over x - 4

• x^2 over x - 16

• 4X over x - 4

In the final example, what is the LCD used?

• x - 3

• x

• x * x - 3

• x + 2

What is the final simplified form of the expression in the last example?

• x + 2 over x - 1

• x - 3 over 2x

• 3x + 6 over 3x - 3

• 5x - 2x + 6 over 3x - 3

What is the main goal when simplifying complex fractions?

• To increase the number of terms

• To eliminate all variables

• To make the fraction more complex

• To rewrite it as a simpler, more familiar expression

What is the first step in simplifying a complex fraction?

• Add fractions together

• Divide the numerator by the denominator

• Find the least common denominator of the smaller fractions

• Multiply by any number