Simplifying Complex Fractions in Algebra

What is a complex fraction?

• A fraction with a large denominator

• A fraction with a decimal point

• A fraction with a large numerator

• A fraction with a numerator and/or denominator that is also a fraction

What is the first step in simplifying a complex fraction using the first method?

• Subtract the fractions

• Add the fractions together

• Multiply the numerator and denominator by the same number

• Find a common denominator for the numerator and denominator

In the example, what is the common denominator for the fractions 2/x and 4/1?

• 1

• 2

• x

• 4

What do you do after finding the common denominators in the first method?

• Subtract the fractions

• Add the fractions together

• Multiply the fractions

• Convert the problem into a division problem

What is the second method of simplifying complex fractions called?

• Fraction busting

• Fraction adding

• Fraction multiplying

• Fraction dividing

In the second method, what do you multiply the numerator and denominator by?

• The denominator

• The numerator

• The highest common factor (HCF)

• The lowest common denominator (LCD)

What is the LCD for the fractions 6, 3, 5, and 10?

• 5

• 10

• 15

• 30

What is the result of simplifying the fraction x/6 - x/3 all over x/5 - 7/10 using the first method?

• Negative x over 6

• x over 6

• 5x over 3 times 2x minus 7

• Negative 5x over 3 times 2x minus 7

What is the LCD for the fractions in the final example problem?

• x times x minus 5

• x minus 5

• x

• x plus 5

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

• 5x over 3x plus 8

• 6x plus x minus 5 over 3x minus 15

• 2 minus 4x over 2 plus 3x

• 7x minus 5 over x minus 15