Common Factors and Fractions

The video tutorial explains how to evaluate expressions by following the order of operations. It covers finding common denominators for fractions, simplifying fractions, subtracting fractions with common denominators, and dividing by fractions using reciprocals. The tutorial concludes with multiplying fractions and simplifying the final result.

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

• Simplify within the parentheses

• Multiply all terms

• Add all numbers

• Divide all fractions

What is the least common multiple of 25 and 75?

• 25

• 50

• 75

• 100

How do you convert 2/25 to an equivalent fraction with a denominator of 75?

• Multiply by 3

• Multiply by 2

• Multiply by 4

• Multiply by 5

What is the result of subtracting 6/75 from 8/75?

• 2/75

• -14/75

• -2/75

• 14/75

What is the result of subtracting 24/45 from 2/45?

• -26/45

• -22/45

• 26/45

• 22/45

What is the reciprocal of 22/45?

• 45/22

• 22/45

• 1/22

• 1/45

What operation is equivalent to dividing by a fraction?

• Multiplying by the reciprocal

• Subtracting the reciprocal

• Adding the reciprocal

• Dividing by the reciprocal

What common factor do 45 and 75 share?

• 10

• 5

• 15

• 20

What is the simplified form of negative one times three?

• Zero

• Three

• Negative three

• One

What is the final simplified result of the given expression?

• Negative two fifty-fifths

• Negative three fifty-fifths

• Three fifty-fifths

• Two fifty-fifths