# Fractions, Ratios, and Proportions Work Sheets. Contents

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1 Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the work sheets that best fit the student s need and will bring him up to the desired level. Contents Work Sheet Title Introduced Page Fractions. Reading and Writing Fractions Review from Level 00. Numerator and Denominator Math 0, Lesson. Equal Fractions Math 0, Lesson. Ordering Fractions Math 0, Lesson. Mixed Numbers Math 0, Lesson. Fractions that Equal Math 0, Lesson. Finding Half of a Larger Number Math 0, Lesson. Finding a Fraction of a Number Math 0, Lesson. Proper and Improper Fractions Math 0, Lesson 0. Changing Mixed Numbers to Improper Fractions Math 0, Lesson 0. Making Equal Fractions Math 0, Lesson. Finding the Missing Numerator Math 0, Lesson. Finding the Fraction of a Number Mentally Math 0, Lesson. Changing Fractions to Percents Math 0, Lesson. Rounding Mixed Numbers to the Nearest Whole Number Math 0, Lesson Adding/Subtracting (like denominators). Adding and Subtracting Fractions Horizontally Math 0, Lesson. One Minus a Fraction Math 0, Lesson. Adding or Subtracting Mixed Numbers Math 0, Lesson. Subtracting a Mixed Number From a Whole Number Math 0, Lesson 0. Borrowing to Subtract Fractions Math 0, Lesson 0 Adding/Subtracting (unlike denominators). Lowest Common Multiple Math 0, Lesson. A Quicker Way to Find LCM Math 0, Lesson. Using Common Denominators to Add or Subtract Math 0, Lesson. Finding the Lowest Common Denominator Math 0, Lesson. Changing Fractions to Common Denominators Math 0, Lesson. Finding the LCD Before Adding/Subtracting Fractions Math 0, Lesson. Borrowing to Subtract Mixed Numbers With LCD Math 0, Lesson Multiplying. Multiplying Fractions Math 0, Lesson. Canceling Before Multiplying Fractions Math 0, Lesson 0. Multiplying Fractions, Mixed Numbers, and Whole Numbers Math 0, Lesson. Multiplying Mixed Numbers, Whole Numbers, and Fractions With More Than Two Factors Math 0, Lesson. Canceling Twice to Multiply Fractions Math 0, Lesson

2 Dividing. Reciprocals Math 0, Lesson. Dividing Fractions Math 0, Lesson Simplifying. Changing Improper Fractions to Whole or Mixed Numbers Math 0, Lesson. Simplifying Fractions Math 0, Lesson. Simplifying Mixed Numbers Math 0, Lesson. Simplifying Fractions to Simplest Form Math 0, Lesson Decimals. Converting Fractions and Mixed Numbers to Decimals Math 0, Lesson 0. Converting Decimals to Fractions and Mixed Numbers Math 0, Lesson. Changing Fractions to Decimals on a Calculator Math 0, Lesson. Using Decimal Equivalents to Compare Fractions Math 0, Lesson Ratio and Proportion. Ratios Compare Amounts Math 0, Lesson. Ratios Compare Measurements Math 0, Lesson. Three Ways to Write Ratios Math 0, Lesson. Equivalent Ratios: Enlarging Math 0, Lesson. Equivalent Ratios: Simplest Form Math 0, Lesson. Writing Ratios as Percents Math 0, Lesson 0. Proportions: Finding the Missing Term Math 0, Lesson 0. Using Cross Products to Solve and Check Proportions Math 0, Lesson. Setting Up Proportions Math 0, Lesson. Using Proportions to Convert U.S. Measures Math 0, Lesson. Solving Percents Using Proportions Math 0, Lesson. Rates Math 0, Lesson. Using Proportions to Convert Measures Between U.S. and Metric Measure Math 0, Lesson. Converting Between Kilograms and Pounds Math 0, Lesson. Converting Between Inches and Centimeters Math 0, Lesson. Converting Between Meters and Yards Math 0, Lesson

3 Work Sheet Math 0, Lesson Subtracting a Mixed Number From a Whole Number You can not subtract a fraction from nothing. I cannot subtract from nothing. I must borrow from. Cross out and write. You are subtracting fifths, so change the you borrowed to and write it above the fraction. Now you can subtract. Borrow from the whole number before you subtract.. a. b. c.. a. b. c.. a. b. c. 0 0

4 Work Sheet 0 Math 0, Lesson Borrowing to Subtract Fractions When the top fraction is smaller than the bottom fraction in a subtraction problem, you must borrow. You cannot subtract from. Borrow from. Change the to and add it to. The becomes a and the becomes. + = Subtract. Borrow as neede Give answers in simplest form.. a. b. c.. a. b. c.. a. b. c.. a. b. c. Note: If student doesn t know how to simplify assign worksheets. 0

5 Work Sheet Math 0, Lesson Multiplying Mixed Numbers, Whole Numbers, and Fractions With More Than Two Factors When multiplying mixed numbers, whole numbers, and fractions, the first step is to rewrite the problem, changing mixed and whole numbers to improper fractions. You can cancel any denominator with any numerator. Then multiply all the numerators together and all the denominators together. If the answer is an improper fraction, change it back to a mixed number. There are no mixed numbers or whole numbers. Pairs that cancel are and, and, and and. Change all mixed numbers to improper fractions. Pairs that cancel are and, and and. = = = Solve. Cancel if possible.. a. = b. = c. = 0 0. a. = b. = c. =. a. = b. = c. =. a. = b. = c. = Note: If student doesn t know how to simplify assign worksheets.

6 Work Sheet Math 0, Lesson Using Proportions to Convert U.S. Measures Proportions can be helpful in converting measures. They help us keep track of when we should multiply or divide. 0 feet is how many inches? First write the conversion ratio. foot inches Then write the second ratio, keeping each unit (feet and inches) on the same level as the first ratio. The second ratio uses n for inches since we need to foot inches = 0 feet n inches find inches. Solve. x 0 = 0. 0 feet is 0 inches. hours is how many days? x =. day hours = n days hours hours is days. Often when you need to convert measures, you will know whether to divide or multiply. But if your answer does not seem sensible or if you get confused, setting up a proportion helps you stay on track. Proportions are especially helpful when you do more complicated conversions. Set up a proportion to find each answer.. a. 0 in = yd b. yd = ft Set up a proportion. Solve cross products.. a. oz = lb b. gal = qt Set up a proportion. Solve cross products.

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