Converting Between Fractions and Decimals

The video tutorial from Berlin's Math Club explains how to convert rational numbers into decimals. It covers the conversion of mixed numbers to improper fractions and then to decimals, including examples with negative fractions and mixed numbers. The video emphasizes that rational numbers can be expressed as terminating decimals, which do not repeat.

What is a rational number?

• A number that is always an integer

• A number that is always a decimal

• A number that can be expressed as a fraction

• A number that cannot be expressed as a fraction

What is the first step in converting a mixed number to an improper fraction?

• Subtract the numerator from the whole number

• Add the numerator and the denominator

• Multiply the whole number by the denominator

• Divide the numerator by the denominator

In the fraction 3 and 1/5, what is the improper fraction form?

• 5/3

• 3/5

• 15/5

• 16/5

How do you convert an improper fraction to a decimal?

• Multiply the numerator by the denominator

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

What is the decimal form of the fraction 16/5?

• 2.6

• 3.0

• 3.5

• 3.2

What type of decimal is 3.2?

• Irrational decimal

• Repeating decimal

• Terminating decimal

• Non-terminating decimal

When converting a negative fraction to a decimal, what should you do with the negative sign initially?

• Add it to the numerator

• Convert it to a positive sign

• Ignore it until the end

• Add it to the denominator

What is the decimal form of the fraction -5/8?

• -0.5

• -0.8

• -0.625

• -0.75

What type of decimal is -0.625?

• Non-terminating decimal

• Terminating decimal

• Repeating decimal

• Irrational decimal

What is the first step in converting a negative mixed number to an improper fraction?

• Divide the numerator by the denominator

• Multiply the whole number by the denominator

• Subtract the fraction from the whole number

• Add the whole number and the fraction