Converting Fractions to Decimals

In this video, Mr. J explains how to convert fractions to decimals by hand without using a calculator. He demonstrates the process with two examples: converting 1/8 to a decimal and converting 5/12 to a repeating decimal. The video also covers options for rounding repeating decimals and emphasizes the importance of aligning numbers correctly during division. The tutorial concludes with a reminder that dividing the numerator by the denominator yields the decimal form of a fraction.

What is the first step in converting a fraction to a decimal by hand?

• Multiply the numerator by the denominator

• Add the numerator and the denominator

• Divide the numerator by the denominator

• Subtract the denominator from the numerator

When converting 1/8 to a decimal, what is the first whole number you place in the quotient?

• 1

• 2

• 8

• 0

What is the decimal equivalent of 1/8?

• 0.125

• 0.25

• 0.5

• 0.75

In the conversion of 5/12, what is the repeating digit in the decimal?

• 1

• 4

• 6

• 8

What is the approximate decimal value of 5/12 when rounded to the tenths place?

• 0.4

• 0.7

• 0.5

• 0.6

What symbol is used to indicate a repeating decimal?

• Asterisk (*)

• Caret (^)

• Bar (¯)

• Tilde (~)

When rounding 5/12 to the hundredths place, what is the approximate value?

• 0.43

• 0.42

• 0.41

• 0.44

What is the purpose of starting a decimal with a zero before the decimal point?

• To increase the value

• To make it a whole number

• To ensure the decimal is not overlooked

• To make calculations easier

What is the main method used to convert a fraction to a decimal?

• Division

• Addition

• Multiplication

• Subtraction

What should you do if you end up with a long or repeating decimal?

• Divide it

• Round it

• Ignore it

• Multiply it