Understanding Fractions and Decimals

This video tutorial explains how to find the sum of a fraction and a decimal by converting between the two forms. It demonstrates converting 3/4 to a decimal and adding it to 0.8, as well as converting 0.8 to a fraction and adding it to 3/4. The tutorial covers aligning decimal places for addition and finding a common denominator for fractions. It concludes with converting the resulting improper fraction to a mixed number, showing that all forms are equivalent.

What are the two methods to add a fraction and a decimal?

• Convert the fraction to a decimal or the decimal to a fraction

• Subtract the smaller from the larger

• Convert both to percentages

• Multiply the fraction and decimal

How do you convert the fraction 3/4 to a decimal?

• Multiply 3 by 4

• Add 3 and 4

• Divide 3 by 4

• Subtract 4 from 3

What is the decimal equivalent of 3/4?

• 0.25

• 1.0

• 0.75

• 0.5

When adding 0.75 and 0.8, what is the sum?

• 1.65

• 1.45

• 1.75

• 1.55

How is 0.8 expressed as a fraction?

• 1/2

• 4/5

• 2/5

• 8/10

What is the least common denominator for 3/4 and 4/5?

• 10

• 20

• 15

• 25

What is the sum of 15/20 and 16/20?

• 31/20

• 30/20

• 32/20

• 33/20

How do you convert 31/20 to a mixed number?

• 1 and 11/20

• 1 and 10/20

• 2 and 11/20

• 2 and 10/20

Which of the following is an improper fraction?

• 4/5

• 31/20

• 3/4

• 1/2

What are the three forms in which the sum is expressed?

• Decimal, percentage, and ratio

• Fraction, decimal, and mixed number

• Mixed number, percentage, and ratio

• Decimal, fraction, and percentage