Understanding 2.75 as a Fraction

The video tutorial explains how to convert the decimal 2.75 into a simplified fraction. It begins by breaking down the decimal into its fractional components: 2 as a whole number, 0.7 as 7/10, and 0.05 as 5/100. The tutorial then demonstrates how to find a common denominator, which is 100, to combine these fractions. After combining, the fraction 75/100 is simplified to 3/4 by dividing both the numerator and denominator by their greatest common factor, 25. The final result is expressed as the mixed number 2 and 3/4. The video emphasizes understanding the process and practicing to make the conversion intuitive.

What does the number 2 represent in the decimal 2.75?

• Two whole numbers

• Two thousandths

• Two hundredths

• Two tenths

In the decimal 2.75, what does the digit 7 represent?

• 7/100

• 7/1

• 7/10

• 7/1000

What is the least common multiple of 10 and 100?

• 50

• 100

• 200

• 10

How do you convert 7/10 to have a denominator of 100?

• Multiply by 5

• Multiply by 10

• Divide by 10

• Add 10

What is the sum of 70/100 and 5/100?

• 7/100

• 75/100

• 7/10

• 75/10

What is the greatest common factor of 75 and 100?

• 25

• 5

• 10

• 15

What is 75 divided by 25?

• 5

• 4

• 2

• 3

What is 100 divided by 25?

• 3

• 4

• 2

• 5

What is the simplified form of 2 and 75/100?

• 2 and 7/8

• 2 and 5/6

• 2 and 3/4

• 2 and 1/2

What is the equivalent of 2.75 in mixed number form?

• 2 and 1/2

• 2 and 5/6

• 2 and 7/8

• 2 and 3/4