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Published byWilliam McLaughlin Modified over 7 years ago

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If the numerator of a fraction is less than the denominator, the fraction represents a number less than 1 and is called a proper fraction. Improper Fractions, Mixed Numbers and Decimal Numbers If the numerator of a fraction is greater than or equal to the denominator, the fraction represents a number greater than or equal to 1 and is called an improper fraction.

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parts shaded equal parts five-sixths PictureFractionRead as parts shaded equal parts seven-thirds part shaded equal parts one-fourth Visualizing Fractions

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Writing an Improper Fraction as a Mixed Number or a Whole Number Step 1: Divide the denominator into the numerator. Step 2: The whole number part of the mixed number is the quotient. The fraction part of the mixed number is the remainder over the original denominator. remainder original denominator quotient and

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Writing a Mixed Number as an Improper Fraction Step 1: Multiply the denominator of the fraction by the whole number. Step 2: Add the numerator of the fraction to the product from Step 1. Step 3: Write the sum from Step 2 as the numerator of the improper fraction over the original denominator. 2 3 4 243 4 83 4 11 4 ∙

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Writing a Mixed Number as a Decimal Step 1: Let the whole number part of the mixed number be the whole number part of the decimal. Step 2: Convert the fractional part of the mixed number to a decimal by dividing the numerator by the denominator.

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Writing a Decimal as a Mixed Number Step 1: Say the number. Step 2: Write the decimal part of the number as a fraction. Step 3: Reduce the fraction.

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Examples ① Convert each mixed number to an improper fraction: a)5b) 6 ③ Write 157 ⅙ as a decimal number rounded to two decimal places. ② Convert each improper fraction to a mixed number: a)b) ④ Write 5.09 as a mixed number.

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