Fraction and decimal increase and decrease

Match the appropriate description to the tape diagram

• An increase of 2/7

• A decrease of 2/5

• An increase of 2/5

• A decrease of 5/7

Match the appropriate description to the tape diagram

• An increase of 1/4

• A decrease of 1/4

• An increase of 1

• A decrease of 1/3

Answer explanation

Since X is split into 4ths, Y is smaller by 1/4. So it is a decrease of 1/4

Match the appropriate description to the tape diagram. There may be more than one answer.

• an increase of 1/5

• a decrease of 1/6

• a decrease of 1/5

• an increase of 1/6

Answer explanation

since X is split into 5ths, the increase is by 1/5. Since Y is split into 6ths, the decrease is by 1/6

Match the appropriate description to the tape diagram. There may be more than 1 answer.

• A decrease of 2/3

• An increase of 2/3

• An increase of 2/5

• A decrease of 2/5

Answer explanation

Since X is split into 3rds, Y is 2/3x greater than X (an 2/3 increase) Since Y is split into fifths, x is 2/5 of y less than y (a 2/5 decrease)

Match the appropriate equation to the tape diagram

Answer explanation

X is split into 4 sections, and Y is one more section longer than x. Therefore y is equal to x plus 1/4 of x, which is the same as 5/4x.

Match the equation to the tape diagram

• Y=3/4x

• Y=4/3x

• Y=2/3x

Answer explanation

X is split into 4th again. Y is equal to 3 of those sections, which is the same as 3/4 of x.

Match and equation with the situation.

Elena danced as long as Noah danced, x , and then she danced that same amount again.

• y=3x

Match the tape diagram with an equation

Answer explanation

Y is greater than X by 2/5 of X. 2/5 is 0.4 as a decimal, so the increase is 1.4x