Chapter 7 Review

Reducing Fractions

100

Reduce this fraction to simplest terms:

5/10

1/2

200

Reduce this fraction to simplest terms:

8/20

2/5

300

Reduce this fraction to simplest terms:

25/100

1/4

400

Reduce this fraction to simplest terms:

150/350

3/7

500

Reduce this fraction to simplest terms:

240/500

12/25

Fractions to Decimals

100

Convert this mixed number to a decimal:

5  8/10

5.8

200

Convert this mixed number to a decimal:

12  36/100

12.36

300

Convert this mixed number to a decimal:

15  1/4

15.25

400

Convert this mixed number to a decimal:

7  1/8

7.125

500

Convert this mixed number to a decimal:

12  3/8

12.375

Decimals to Fractions

100

Convert these decimals to fractions (AND REDUCE):

36.2

2/10 = 1/5

36  1/5

200

Convert these decimals to fractions (AND REDUCE):

5.05

5/100 = 1/20

5  1/20

300

Convert these decimals to fractions (AND REDUCE):

9.120

12/100 = 6/50 = 3/25

9  3/25

400

Convert these decimals to fractions (AND REDUCE):

25.195

195/1000 = 39/200

25 39/200

500

Convert these decimals to fractions (AND REDUCE):

120.035

35/1000 = 7/200

120 7/200

Word Problems

100

Mary ate 3/4 of a cupcake.  How much of the cupcake did she eat in decimal form?

3/4 = 75/100

0.75

200

Giana received 2.46 pounds of candy at the Fall Festival.  Eila Grace received 1.9 pounds.  How much did they received together (in reduced fraction form)?

4.36 = 36/100 = 18/50 = 9/25

4 9/25

300

Ben ran 3 1/3 miles during P.E.  Charlotte ran 2 5/6 miles in P.E.  How many miles did they run in total?

1/3 + 5/6 = 2/6 + 5/6 = 7/6 = 1 1/6

6 1/6 miles

400

Quinn says that 2/3, 10/15, and 20/30 are all equivalent fractions.  Is he correct?

Yes

500

Majid says that 60/100 is the equivalent to 6/10 and 0.6.  Is he correct?

Yes

Miscellaneous

100

What is 5 1/8 + 2 3/5?

1/8 x 5 = 5/40  AND  3/5 x 8 = 24/40

5 5/40 + 2 24/40 = 

7 29/40

200

What is 10 6/7 - 5 1/5?

6/7 x 5 = 30/35 AND 1/5 x 7 = 7/35 so

10 30/35 - 5 7/35 = 

5 23/35

300

Convert 122/100 to a decimal.

First, make it a proper fraction by dividing.

Remainder becomes numerator.

1 22/100

Now it is just 1.22

400

Convert 35/10 to a decimal.

First make it a proper fraction by dividing.

3 5/10

The remainder becomes the numerator.

3.5

500

Convert 46/5 to a decimal.

First change it to a proper fraction by dividing.

9 1/5

Then change the denominator to a 10 = 9 2/10

9.2