Study Guide
Unit 10: Fractions
Chapter 1 Examples of test questions:

Numerator – the top number that give the number of equal parts represented by the fraction
 What is the numerator of ¾?

Denominator – the bottom number that gives equal parts the whole is divided into
 What is the denominator of 5/6?
 5/6 = ___ sixths

Making a whole
 ¾ and ___ make a whole
 4/9 and ___ make a whole
 How many fourths are there in a whole?
 How many twelfths in a whole?
 1 = ?/7

Shading of figures
 Shade 7/8 of a figure with 8 pieces
 If a figure has pieces shaded – What fraction of the figure is / is not shaded?

Comparing fractions
 Which is greater: 3/7 or 6/7?
 >, < between to fractions: 6/12 ____ 6/8

Arrange in order – begin with greatest / least.
 2/4, 2/7, 1/7, 2/9
 Write a fraction that is greater than 1/5.
Chapter 2 Examples of test questions:

Write a fraction for a figure
 A figure as a whole is written as 1
 A figure in two pieces would be 2/2
 A figure in six pieces would be 6/6

Write a fraction for shaded figures

Two figures that are the same size, and have the same ratio shaded – however, the number of pieces differ
 One figure has four pieces with two shaded and another has two pieces with one shaded: 2/4 = ½
 One figure has ten pieces with eight shaded and another has five pieces with four shaded: 8/10 = 4/5

Two figures that are the same size, and have the same ratio shaded – however, the number of pieces differ

Equivalent
 ½, 2/4, 3/6, and 4/8 are all equivalent fractions; they all name the same part of the whole
 Change a fraction into an equivalent fraction by multiplying or dividing both the numerator and denominator by the same number
 ¾ = ?/12
 ¾ = 9/?
 6/12 = 3/?
 Write an equivalent fraction for 3/8
 Write the missing numerator and denominator: ?/7 = 6/14 = 9/?
 A fraction can be simplified when its numerator and denominator can be divided by the same number: express 8/16 in its simplest form

Which fractions are in their simplest forms?
 6/12 4/8 2/3 7/9
 order the fractions in order starting with the greatest / least

Which is the greater fraction?
 ¾ or 7/12

2/4 of the meal was salad. 2/3 of the meal was soup. Was there more salad or soup?
 4 and 3 both go into 12, so it may help multiply the numerator/denominator in each fraction so the denominator is 12. (2/4 x 3/3 = 6/12)

Mom at 2/3 of the salad. Dad ate 6/18 of the salad. Sue ate 7/9 of the salad. Who ate the most/least?
 Make the common denominator 18 to compare the fractions.
Chapter 3 Examples of test questions:
 To add like fractions, we add the numerator and the denominator stays the same (3/5 + 1/5 = 4/5).

Various ways to add fractions.
 4/9 + 2/9 = ___. Give your answer in its simplest form.
 Circle divided. If there are 10 pieces: 4 pieces are pink, 2 pieces are red, and 1 piece is blue, write an addition sentence with fractions. What fraction is colored? What fraction is not colored?
 Pictures of beakers shaded. What fraction of the beaker is/is not filled? Give the answer in its simplest form.
 More than one beaker is shaded. Write a fraction addition sentence. Express your answer as a fraction in its simplest form.

Unit bar

Shaded unit bar. Write in a missing fraction to make the sentence complete.
 4/7 + _____ = 1

Number sentence given. Shade the unit bar to show the addition sentence.
 5/8 + 3/8 = ___ (shade in five pieces, but leave three of the eight blank and fill in the blank as 8/8)

Shaded unit bar. Write in a missing fraction to make the sentence complete.
 ?/12 + ?/12 = 9/12 = ¾ (fill in the blanks so the numerators need to add up to 9)
 Add 8/18, 4/18, and 2/18. Show your work in the form of an addition sentence. Give your answer in its simplest form.
 Eric ate ¾ cup of nuts yesterday and another ¼ cup today. How much did he eat in all?
 A 1 liter bottle contains 2/4 liters of a liquid. Another ¼ is added. How much liquid is there now? Can the bottle hold any more liquid?
 Mrs. Tokkesdal walked the trail in her neighborhood three times. The trail was 4/19 km long. What was the total she walked? Express your answer as a fraction in its simple form.
Chapter 4 Examples of test questions:
 To subtract like fractions, we subtract the numerators. The denominator stays the same (4/5 – 1/5 = 3/5)

Subtract fractions in various ways.

Unit bar shaded and students label the various parts in fractions. Count the parts and label how many pieces total (If nine pieces: 9/9). Count the shaded (3/9) and parts not shaded (6/9) and label them. Write a subtraction sentence using the fractions (9/9 – 3/9 = 6/9).
 Be careful because some questions only mark part of the unit bar for the problem. For instance, there could be 12 pieces, but they may only be working with 7 pieces for the total.
 Subtract 6/8 from 8/8.
 Find the difference between 5/9 and 8/9. Give your answer in its simplest form.
 1 – 7/18 = ___ (Change 1 to 18/18. 18/18 – 7/18 = ___)
 1 – 8/18 – 7/18 = _____
 17/18 – 13/18  ?/18 = 2/18 Write the missing numerator

Unit bar shaded and students label the various parts in fractions. Count the parts and label how many pieces total (If nine pieces: 9/9). Count the shaded (3/9) and parts not shaded (6/9) and label them. Write a subtraction sentence using the fractions (9/9 – 3/9 = 6/9).
 The pie was cut into 6 equal pieces. Sophia ate 1/6. Samuel and Wyatt each ate 2/6 of the pie. What fraction of the pie was left?
 The French bread was cut into 12 equal pieces. Madeline took 3 pieces and Jack took 5 pieces. What fraction of the bread was left?
 Emily divided the lemonade into 6 equal portions. She gave 3/6 of it to Brenna. What fraction of the lemonade was left?
 A 1 liter bottle contains 6/7 liter of a liquid. 3/7 liter was poured into one container and 2/7 liter into another. How much was poured? How much was left in the bottle?
Chapter 5 Examples of test questions:
 Up until now, students have only dealt with fractions as fractions of one whole. Here, the concept of fraction of a set of more than one object is introduced.
 To find 1/5 of a set of 20 objects, we can divide the set of 20 into 5 equal parts and determine how many objects there are in one part.
 To find 3/5 of 20, we also divide the set of 20 into 5 equal parts. Then we determine how many objects there are in three parts.

Various objects are drawn. What fraction of the objects are ___?
 Lets say there are 15 circles. 7 are dotted, 4 are shaded, 3 are striped, and 1 is blank. What fraction of the circles are shaded?
 Lets say there are 8 objects. 4 are rectangles and 4 are hexagons. Use the figure to find ½ of 8. ½ of 8 is ___.
 ?/? of 12 is ___. 12 objects are in 4 equal groups. One group of 3 is shaded. The answer would be ¼ of 12 is 3.
 What is 1/3 of 9?
 Davis had 9 m of electrical cord. He needed 2/3 of it for the science experiment. How many meters did he have left?
 PrestonNicolas had 8 markers. He used ¾ of his markers to decorate his Sail America brochure. How many markers did he use?
Chapter 6 Examples of test questions:
 Read and write a sum of money as a fraction of another sum of money. For example, 3 dimes out of a total of 10 dimes is 3/10 of a dollar.
 Pictures of various coins. How many coins are there? What fraction of the coins are dimes?

What fraction of a dollar is:
 $0.75? ___
 1 penny? ____
 What is 20/100 of a dollar? ____
 10 pennies are ?/? of a dollar. (Write a fraction)

How much do a dime, three nickels and five pennies make? $_____
 What fraction of a dollar is that?

Zoe has 6 dimes, 2 nickels, 8 quarters, and 9 pennies.
 What fraction of her coins are nickels?
 What fraction of a dollar are the 9 pennies?
 How much does she have altogether?
 She changed 5 pennies for a nickel. What fraction of her coins are pennies now?

Shaylie has 80c. What is 80c as a fraction of a dollar?
 The 80c she has is made up of 4 dimes, 2 nickels, 1 quarter, and 5 pennies. What fraction of the coins do the nickels make up?
Unit 10 Cumulative Test:
 Review all of Units 1  10