6th Grade Fractions

Equivalent Fractions

100

What is an equivalent fraction for  8/12 with a denominator of 36?

24/36

200

What is an equivalent fraction for 130/190 with a numerator of 26?

38

300

Find fractions with the same denominator that are equivalent to the given fractions.  Use the LCM of the given denominators.

5/6   and   2/9

15/18    and    4/18

400

Find fractions with the same denominator that are equivalent to the given fractions.  Use the LCM of the given denominators.

2/5        7/10        4/15

12/30        21/30        8/30

500

Find the value for n .

n/48 = 3/n

12

Mixed Numbers

100

Convert 3 4/5 to an improper fraction.

19/5

200

Change to a whole or mixed number in simple form:

175/15

11   2/3

300

Change to a whole or mixed number in simple form:

148/6

24    2/3

400

Change to an improper fraction:

23 2/7

163/7

500

Express the quotient as a mixed number in simple form.

8464/32

264   1/2

Decimals

100

Will this fraction be expressed as a terminating or repeating decimal?      7/40

Terminating  (Check the prime numbers of the denominator.)

200

Change 3/16 to a decimal.

0.1875

300

Change 40/33 to a decimal.

1.21  (.21 is repeating)

400

Express the fraction as a decimal. (Yes, those are decimals in the fraction.)

1.38/3.3

0.418 (18 is a repeating decimal)

500

Express the fraction as a decimal. (Yes, those are decimals in the fraction.)

90/0.64

140.625

Comparing Fractions

100

Which is greater, 5/6 or 7/9?  

5/6

200

Which is greater? 

7/36 or 3/16

7/36

300

Name a fraction between  3/7 and 4/7.

7/14    or    1/2

400

Name a fraction between 7/15 and 8/15.

15/30 or 1/2

500

Which fraction is greatest?  

5/21      3/14      1/6

5/21

Story Problems

100

A fence is to be put along a side of a lot measuring 114 feet.  Nineteen fence posts are to be used, one at each end and 17 equally spaced between the ends.  What is the distance between centers of two consecutive fence posts?

6 1/3 ft

200

A table top is in the shape of a square 45 inches on a side.  A chessboard is inlaid so that a border of 3 inches exists on all four sides.  How wide is each of the eight rows of squares of the chessboard?

4   7/8 in.

300

In a 40-minute debatere there were four speeches, each lasting 5 minutes, and two 3-minute rebuttals.  If there were two breaks of equal duration between the speeches and rebuttals, how long was each break?

7 min.