Converting Fractions and Decimals

The video tutorial explains how to convert the decimal 7.5 into a fraction. It starts by expressing 7.5 as 7.5/1, then multiplies both the numerator and denominator by 10 to eliminate the decimal, resulting in 75/10. The fraction is simplified to 15/2, and further converted into a mixed fraction, 7 1/2. The tutorial emphasizes that all forms are equivalent to 7.5.

What is the first step in converting 7.5 into a fraction?

• Multiply by 10

• Divide by 2

• Subtract 0.5

• Express as 7.5 over 1

Why do we initially write 7.5 as 7.5 over 1?

• To change its value

• To start forming a fraction

• To simplify it

• To make it a whole number

What operation is performed to remove the decimal from 7.5?

• Add 5

• Divide by 10

• Multiply by 10

• Subtract 0.5

After multiplying by 10, what does 7.5 become?

• 750

• 0.75

• 75

• 7.5

What must be done to the denominator when multiplying the numerator by 10?

• Add 10

• Multiply by 10

• Divide by 10

• Subtract 10

What is the fraction 75 over 10 simplified to?

• 5 over 1

• 10 over 75

• 15 over 2

• 7.5

How many times does 5 go into 75?

• 5 times

• 15 times

• 10 times

• 20 times

How many times does 5 go into 10?

• 4 times

• 3 times

• 2 times

• 1 time

What type of fraction is 15 over 2?

• Decimal

• Mixed number

• Improper fraction

• Proper fraction

How many times does 2 go into 15?

• 8 times

• 6 times

• 7 times

• 5 times