Understanding Fractions and Equations

The video tutorial guides viewers through translating a word problem into an equation and solving it. It involves determining the total number of people in a dining room, given that two-fifths are men and there are 64 men. The tutorial explains how to set up the equation using a variable, solve it by isolating the variable, and verify the solution. The process includes multiplying by the reciprocal to solve the fraction equation and checking the solution's accuracy.

What fraction of the people in the dining room are men?

• Three-fourths

• One-half

• Two-fifths

• One-third

If there are 64 men in the dining room, what equation can represent the total number of people?

• n/5 = 64

• 2n/5 = 64

• 5n/2 = 64

• n/2 = 64

What is the first step in solving the equation 2/5 * n = 64?

• Add 5 to both sides

• Multiply both sides by 5/2

• Divide both sides by 2

• Subtract 2 from both sides

What is the reciprocal of 2/5?

• 5

• 1/5

• 2/5

• 5/2

After simplifying, what is the value of n in the equation 2/5 * n = 64?

• 120

• 140

• 160

• 180

What is the result of multiplying 5 by 32?

• 150

• 160

• 170

• 180

What common factor is used to simplify 64/2?

• 16

• 4

• 8

• 2

What is the purpose of writing 64 as a fraction with a denominator of one?

• To make it easier to add

• To divide it by 2

• To simplify multiplication

• To convert it to a decimal

How do you verify that n = 160 satisfies the equation 2/5 * n = 64?

• Check if 160/5 equals 64

• Check if 2/5 * 160 equals 64

• Check if 160/2 equals 64

• Check if 5/2 * 160 equals 64

What is the final step in verifying the solution?

• Add 5 to both sides

• Check the product on a calculator

• Multiply both sides by 2

• Subtract 64 from both sides