Converting Decimals to Fractions

This video tutorial explains how to convert decimal numbers into fractions, starting with simple examples and progressing to more complex ones. It covers the conversion of improper fractions to mixed numbers and provides techniques for simplifying fractions. The tutorial also addresses how to handle repeating decimals, both simple and complex, and convert them into fractions. Various methods are demonstrated, allowing viewers to choose the approach that suits them best.

What is the first step in converting a decimal like 0.4 into a fraction?

• Add 1 to the decimal

• Divide by 10

• Write it over 1

• Multiply by 100

How do you convert 4.6 into a mixed number?

• Add 0.4

• Use long division

• Divide by 5

• Multiply by 100

When converting 0.28 into a fraction, why do you multiply by 100?

• To add two zeros

• To simplify the fraction

• To make the number larger

• To move the decimal two places to the right

What is the fraction form of 0.35?

• 7/20

• 35/100

• 5/9

• 1/3

How do you convert a decimal with three decimal places like 0.436 into a fraction?

• Divide by 100

• Multiply by 1000

• Add 0.1

• Multiply by 10

What is the fraction form of 0.1 repeating?

• 1/3

• 1/2

• 1/6

• 1/9

How do you handle two repeating numbers in a decimal like 0.39 repeating?

• Add 0.1

• Multiply by 100

• Divide by 9

• Divide by 99

What is the fraction form of 0.83 with only the 3 repeating?

• 7/9

• 1/2

• 8/9

• 5/6

How do you convert 4.915 with 15 repeating into a fraction?

• Subtract 0.51

• Subtract 0.15

• Multiply by 10

• Add 0.1

What is the fraction form of 5.27 repeating?

• 5 4/9

• 5 1/3

• 5 3/11

• 5 2/9