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Understanding Fractions and Decimals: Converting with Ease

This guide provides helpful hints for converting fractions to decimals and vice versa. Always start by dividing the numerator (top number) by the denominator (bottom number). When the denominator is a power of ten, represent the numerator as a decimal according to its place value. Learn how to manage mixed numbers by keeping the whole number intact and converting the fraction part. We also explore types of decimals: terminating, repeating, and truncating, with practical examples to solidify understanding.

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Understanding Fractions and Decimals: Converting with Ease

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  1. Fractions to Decimals To Fractions Decimals Helpful Hints: Always divide the top number by the bottom. If your denominator is a power of ten (10,100,1000) write the numerator as a decimal in that place value: 25/100 = .25 Reduce the fraction before you turn it into a decimal.

  2. ⌐ 4 3 Fractions to Decimals Mixed Numbers to decimals: Types of Decimals: Terminating: Repeating: Truncate:

  3. Using Division: A fraction is a division problem. ¾ means: 3 ÷ 4. Fractions and decimals represent the same value in different forms. ½ = 0.5. ⌐ 4 3 Hint: The numerator or (top number) always goes inside the house Fractions to Decimals Mixed Numbers to decimals: 3 3/4 Keep the whole number the same. Change the fraction to a decimal. Put the whole number with the decimal. 3. 75 Types of Decimals: Terminating: Decimals that end or have a final digit: 3.75 Repeating: Decimals that repeat a digit or digits: 3.121212… Truncate: Decimals where you cut off after a certain digit: 3.123

  4. Ticket Out the Door • In your own words how do you change a mixed number into a decimal? • Name two types of decimals and give an example of each.

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