Additional Fractions Problems With Solutions

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1 6/6/009 Additional Fractions Problems With Solutions Ordering fractions with unlike denominators What is the first step? How do we do that? Then what? Find the lowest common denominator Write each denominator as a product of prime numbers. List each unique prime number (referred To as a base) present in any of the denominators that we are evaluating. And, finally? Write each base to the highest power present in any ONE denominator. Order the following fractions in ascending order. / / Write each denominator as a product of prime numbers. 9 List each unique prime number (referred To as a base) present in any of the denominators that we are evaluating. Re-write the following fractions to the common denominator. / / 68 ( ) 68 ( ) 0 90 ( ) ( ) X Write each base to the highest power present in any ONE denominator. ( ) ( ) ( ) 0 9 ( ) ( ) 90 ( ) Re-order the following fractions now that they have a common denominator. Show that / 6 equal / using an AREA MODEL / / / /

2 6/6/009 Show / 6 using a SET MODEL By eamining the denominators, you will be working with a complete set of 6 items in rows or items in 6 rows. Let s work the problem from the left to the right items in rows. C ROWS O L U M N S Show / 6 using a SET MODEL Starting in the upper left column. Begin with / 6. Circle of the 6 columns. Starting in the upper left column. Begin with. Circle of the rows. Count the number of dots captured within BOTH of the circles. This is your numerator. Count the number of dots within the entire grid of circles. This is your denominator.. Draw a rectangle with the shorter side towards the top of the page. Multiply using an AREA DIAGRAM. Label the longer side of the rectangle on its left side with the fraction having the larger denominator.. Label the shorter side of the rectangle at the top with the fraction having the smaller denominator.

3 6/6/009. Place the multiplication symbol at the top left corner of the rectangle.. Working with the fraction on the left side, divide the rectangle horizontally into the number of rows equal to the denominator. 6. Choose a color and circle the numerator of the fraction on the left side of the rectangle. Beginning in the upper left hand corner of the rectangle, shade the same number of rows as is the value of the numerator you circled.. Working with the fraction on the top, divide the rectangle vertically into the number of columns equal to the denominator. 8. Choose a color and circle the numerator of the fraction on the top side of the rectangle. Beginning in the upper left hand corner of the rectangle, shade the same number of columns as is the value of the numerator you circled. 9. Count the total number of cells into which the rectangle has been divided. 0. Multiply the denominators of the fractions together.. Are these two values the same? yes This is your denominator.

4 6/6/009. Count the number of cells that have BOTH of the colors in them.. Multiply the numerators of the fractions together.. Are these two values the same? yes Show that and / 6 are equivalent fractions using a NUMBER LINE MODEL This is one-third of the distance from 0 to. This is your numerator. So, / 0 / This is two-siths of the distance from 0 to. 0 / 6 6 / 6 / 6 / 6 A movie theatre contains 9 occupied seats and is / full.. Draw a rectangle. A movie theatre contains 9 occupied seats and is / full.. Divide the rectangle into the number of columns equal to the denominator of the fraction. A movie theatre contains 9 occupied seats and is / full.. Highlight or color in of the columns. This represents the seats occupied. A movie theatre contains 9 occupied seats and is / full.. Divide by to determine the number in each highlighted column. 9 9 for each column

5 6/6/009 A movie theatre contains occupied seats and is / full.. Multiply the number determined to be in each highlighted column times the remaining number of empty columns to determine how many more tickets must be sold in order to fill the theatre. A movie theatre contains 9 occupied seats and is / full. 9 is equally distributed across out of total parts. ( 9 ) the total number of seats in the theatre. ( 9 ) the total number of seats in the theatre. the total number of seats in the theatre. 9 8 more tickets to fill the theater 9 8 the total number of seats left to fill. I have and pounds of m & m s. If I eat / pound per day, for two days, how much will I have remaining? / + / /, the total amount eaten at the end of two days. ( ) ( ) 0 + / In order to add or subtract fractions, you must have a common denominator. Pounds of M & M s remaining

CBA Fractions Student Sheet 1

CBA Fractions Student Sheet 1 Student Sheet 1 1. If 3 people share 12 cookies equally, how many cookies does each person get? 2. Four people want to share 5 cakes equally. Show how much each person gets. Student Sheet 2 1. The candy