Simplifying Expressions and Fractions

This video tutorial focuses on simplifying complex fractions using various techniques. It begins with basic examples using the Keep Change Flip method and progresses to more advanced examples involving variables. The tutorial also covers clearing smaller fractions within larger fractions and using common denominators. Additionally, it addresses handling negative exponents in complex fractions. The video concludes with a final example summarizing the techniques discussed.

What is the first step in the Keep Change Flip method?

• Multiply both fractions

• Change the first fraction

• Flip the first fraction

• Keep the first fraction as it is

In the example 24x/16 divided by 32y/48, what is the simplified form?

• 3x/4y

• 3x/y

• x/2y

• 6x/2y

When clearing smaller fractions within a larger fraction, what should you multiply by?

• The entire fraction

• The denominator of the smaller fraction

• The numerator of the smaller fraction

• The reciprocal of the smaller fraction

What is the result of simplifying 3/x + 2/5x?

• 3 + 2/5x

• 3x + 2/5

• 3 + 2x/5

• 3x + 2x/5

What is the common denominator for fractions with denominators X and Y?

• X

• Y

• XY

• X+Y

In the expression 4/9 - 2/3 divided by 5/3 + 1/9, what is the simplified result?

• -1/8

• 1/8

• 2/16

• -2/16

What is the least common multiple of 3, 4, and 5?

• 20

• 12

• 60

• 15

How do you handle a negative exponent like x^-2?

• Convert to 1/x^2

• Divide by x^2

• Ignore the exponent

• Multiply by x^2

How do you simplify 3x - 7/XY divided by 4/y - 3x?

• 3x - 7/4x + 3y

• 3x - 7/4y - 3x

• 3x - 7/4x - 3y

• 3x - 7/4y + 3x

What is the simplified form of 3x + 1/4x - 1?

• 3x - 1/4x - 1

• 3x + 1/4x - 1

• 3x - 1/4x + 1

• 3x + 1/4x + 1