Fraction Operations and Simplification

The video tutorial explains how to evaluate expressions by following the order of operations. It begins with simplifying expressions within parentheses by finding common denominators for fractions. The tutorial demonstrates subtracting fractions with common denominators and simplifying them by dividing by common factors. Finally, it covers multiplying by reciprocals to simplify expressions further, resulting in a simplified fraction.

What is the first step in evaluating an expression according to the order of operations?

• Multiply all terms

• Divide all terms

• Simplify within the parentheses

• Add all numbers

What is the least common denominator for the fractions 6/25 and 7/50?

• 100

• 75

• 50

• 25

How do you convert 9/10 to have a denominator of 20?

• Add 10 to the denominator

• Divide both numerator and denominator by 2

• Multiply both numerator and denominator by 2

• Multiply both numerator and denominator by 3

What is the result of subtracting 12/50 from 7/50?

• 5/50

• 19/50

• 5/25

• 19/25

What is the simplified form of 5/50?

• 1/25

• 1/10

• 1/5

• 1/50

What is the reciprocal of 9/20?

• 9/20

• 2/9

• 10/9

• 20/9

What is the result of multiplying 1/10 by the reciprocal of 9/20?

• 1/9

• 10/9

• 2/9

• 9/2

What common factor is used to simplify 20/10?

• 2

• 5

• 10

• 20

What is the final simplified form of the expression?

• 1/9

• 2/9

• 9/2

• 1/2

What is the importance of simplifying fractions before multiplying?

• It increases the number of steps

• It reduces calculation errors

• It makes the process slower

• It makes the numbers larger