Equivalent Fractions Review

Equivalent Fractions

100

What is an equivalent fraction?

Two fractions that have different numbers but has the same value.

200

Find an equivalent fraction of 3/4

6/8, 9/12, 12/16, etc.

300

Fill in the blank.

3/5 = ?/15

9

400

Reduce the fraction 12/18

6/9 or 2/3

500

Explain why whatever we do to the numerator we have to do to the denominator.

We need to multiply or divide by a whole fraction because a whole fraction is the same as 1. If we multiply or divide by 1, we get the same number.

Simplify

100

Simplify 4/6

2/3

200

Simplify 10/20

1/2

300

Simplify 12/28

3/7

400

Simplify 45/63

5/7

500

Simplify 72/88

9/11

Compare Fractions

100

Which is bigger? 4/7 vs 5/7 Why?

5/7 because each slice is the same slice. However, in 5/7, we get an extra piece.

200

Which is bigger? 1/4 vs 1/5 Why?

1/4, because sharing with less people gives us more.

300

What's bigger? 3/5 vs 2/7 Why?

3/5 is bigger because 3/5 is more than half, and 2/7 is less than half.

400

What's bigger? 7/11 vs 2/5 Why?

7/11, because 7/11 is more than half while 2/5 is less than half.

500

What's bigger? 3/5 vs 6/10 Why?

3/5 is the same as 60%

6/10 is the same as 60%

3/5 and 6/10 are equal

Converting

100

Turn 3/10 into a decimal and a percentage

0.3 and 30%

200

Convert 0.73 into a percentage and a fraction.

73% and 73/100

300

Turn 28% into a fraction and decimal

28/100 and 0.28

+100 if you wrote 14/50

+200 if you wrote 7/25

400

Turn 58/200 into a decimal and a percentage

0.29 and 29%

500

Convert 75% into a decimal and a fraction.

0.75 or 75/100

+100 for reducing

+200 for 3/4

Word Problems

100

Chris wants to fill up his bath tub 3/4 full of water. However, his pail only fills the bath tub up 1/8 every time. How many pails of water does Chris need?

6 Pails

3/4 is the same as 6/8. We need 6 pails of 1/8 to get fill it up.

200

Michael and Stanley are having an argument. Michael says that 10/15 is bigger than 2/3 as 10 and 15 are bigger numbers. Is he right? Why or why not?

He is wrong because if you simplify 10/15 by dividing by 5, it is the same as 2/3. They are equal.

300

Sean, Murphy, and Malachi are having a race. One hour in, Sean has finished 4/10 of the race, Murphy has finished 3/5 of the race, and Malachi has finished 14/25 of the race. Draw a number line and put where each of them are in the race

0        4/10                   14/25      3/5                   1

___________________________________________

400

Ronin received 45/50 questions correct while Julian has received 87%. Who did better? By how much? 

45/50 is the same as 90%. Ronin did better by 3%.

500

Julia has 2/10 of a puzzle, Fred has three times as many puzzle pieces as Julia, and Brad has 4/25 of the puzzle. Do they have all of the puzzle pieces? If not, how many are they missing?

2/10 is the same as 20%

three times as many of 20% is 60%. Julia and Fred has 80% together. Brad has 4/25 which is 16%. 80% + 16% is only 96%. They are missing 4% of the puzzle. or 4/100 or 0.04