Bell Work 1. 3 4 x 1 2 2. 2 9 x 4 5 3. 6 7 x 1 12 4. 4 3 4 x 2 2 3

When probabilities and portions are expressed as fractions, they can sometimes be difficult to compare. For example, is a  2 3 probability of winning a game greater than a  3 7 probability? In this lesson, you will develop strategies for rewriting fractions so you can compare different portions. 

1-95. FRACTION TO PERCENT   Lila wants to rewrite 10 25  as a percent.  She decided to represent   10 25   first in a picture. How many sets of 25 will she need to make 100?   How many sets of shaded squares will she need?  How many shaded squares is that in total?  Lila drew the picture below, and then she wrote the equation on the right to represent her work with the shapes. **When Lila multiplies the number of shaded squares by 4 and the number of total squares by 4, does the amount of shading compared to the total squares change?  Explain how you know.

1-96. Multiplying any number by 1 does not change the value of the number.  This is called the Identity Property of Multiplication.  When the numerator (top number) and denominator (bottom number) of a fraction are multiplied by the same number, some people like to say that the fraction is multiplied by a Giant One.  For example: a. Why is the fraction 4 4   called a Giant One? b. Each fraction below is shown next to a Giant One.  Multiply the expressions to rewrite each fraction. i. ii.                    =                           = c. What if you do not know which numbers to use in a Giant One?  Copy and complete each problem below on your paper. i. ii.            

1-98. FAMILIES OF FRACTIONS Using a Giant One, you can rewrite any fraction as a different fraction that represents the same portion of a whole.  Fractions that are equal but that are written in different ways are called equivalent fractions.  For each fraction below, make three new fractions that are equivalent. a.     𝟕 𝟏𝟐 b.     𝟑 𝟏𝟎 c.     𝟗 𝟐𝟕

1-99. Adele, Karla, and Lisa are reading the same book 1-99. Adele, Karla, and Lisa are reading the same book.  Each has read a different number of pages, as described below. Adele has read 5 8  of the book. Karla has read 12 16  of the book. Lisa has read 13 24  of the book. Help them decide who has the most left to read. a. What denominator could they use to compare the portions they have read? b. Which girl has the largest part left to read?  Justify your ideas. c. How many pages could the book have?  Be ready to explain your answer.

1-100. Use the Giant One to rewrite each fraction as a part of 100 1-100. Use the Giant One to rewrite each fraction as a part of 100.  Then write the equivalent percent. a. b. c. d. How do you decide which number to use in the Giant One? 

1-101. Which of the events below is most likely to happen 1-101. Which of the events below is most likely to happen?  Justify your answer by rewriting the portion in a different form.  In each case, show your thinking with pictures or with labeled calculations. (use a portions web!) a. A 4 5  chance that the teacher will assign homework today.  b. A 78% chance of a thunderstorm tomorrow.  c. A 7 10  probability of picking a green marble.

Practice 1. 4 3 · ? = ? 15 4. 5 3 ·? = ? 18 2. 3 7 · ? = ? 28 5. 9 2 ·? = ? 38 3. 5 9 · ? = ? 36 6. 6 5 ·? = ? 15