Fraction to Decimal Conversion and Basic Algebra

This video tutorial guides viewers through solving a non-multiple choice SAT math question. It involves solving the equation 1.5Y = 30 to find Y, substituting Y into the expression Y/(Y+30), and simplifying it. The tutorial also covers converting the resulting fraction into a decimal, emphasizing careful simplification and conversion techniques.

What type of question is being discussed in the video?

• Exact value

• Fill in the blank

• Multiple choice

• True or false

What is the first step to solve the equation 1.5Y = 30?

• Multiply both sides by 1.5

• Add 30 to both sides

• Divide both sides by 1.5

• Subtract 1.5 from both sides

What is the value of Y when 1.5Y equals 30?

• 30

• 15

• 20

• 25

After finding Y, what expression do we substitute Y into?

• Y + 30

• Y - 30

• Y / (Y + 30)

• Y * (Y + 30)

What is the simplified form of 20 divided by the quantity 20 plus 30?

• 1/2

• 4/5

• 2/5

• 3/5

Why can't we simplify 20 over 20 in the expression 20/(20+30)?

• Because 20 is not a factor of 50

• Because 50 is not divisible by 20

• Because we cannot simplify across addition

• Because 20 is a prime number

What common factor do 20 and 50 share?

• 15

• 10

• 5

• 20

How do you convert the fraction 2/5 to a decimal?

• Divide 2 by 5

• Add 0.5

• Subtract 0.2

• Multiply by 2

What is the decimal equivalent of 2/5?

• 0.4

• 0.5

• 0.3

• 0.2