Topic 12 Review

Equivalent Fractions

100

What fraction is equal to 1/2?

A. 3/7

B. 4/8

C. 23/50

D. 2/1

B. 4/8

Remember, if your numerator is half of the denominator, then it is equal to one half.

200

What fraction is equivalent to 1/3?

A. 22/33

B. 4/8

C. 2/6

D. 3/10

C. 2/6

300

What fraction is equivalent to 3/4?

A. 18/24

B. 1/3

C. 7/10

D. 6/9

A. 18/24

400

What fraction is equal to 36/42?

A. 3/4

B. 1/2

C. 6/7

D. 18/20

C. 6/7

500

What fraction is equivalent to 56/63?

A. 7/8

B. 8/9

C. 3/4

D. 9/10

B. 8/9

56 and 63 are both multiples of 7.  So just divide both by 7, and that is how you can find the equivalent fraction.

Simplifying Fractions

100

Simplify 5/10

A. 1/2

B. 3/4

C. 2/3

D. 5/6

A. 1/2

200

Simplify 4/6.

A. 2/3

B. 3/4

C. 5/10

D. 5/6

A. 2/3

Divide by 2/2

300

Simplify 3/9

A. 11/12

B. 2/3

C. 1/3

D. 2/4

C. 1/3

Both are multiples of 3. So divide by 3/3

400

Simplify 12/36.

A. 1/3

B. 2/3

C. 3/4

D. 1/2

A. 1/3

Divide by 12/12

500

Simplify 25/100

A. 2/3

B. 1/4

C. 4/5

D. 5/20

B. 1/4

Think, 25 cents is one-quarter of a dollar.

Adding Fractions

100

3/4+1/4=

A. 3/4

B. 4/4

C. 5/8

D. 3/4

A. 4/4

It equals one whole.  

200

5/10+2/10=

A. 3/10

B. 7/10

C. 6/10

D. 8/10

B. 7/10

300

1+1 1/2=

A. 2

B. 2 1/2

C. 3 1/2

D. 1 1/2

B. 2 1/2

Add the fractions, then the whole numbers.

400

1 1/2+ 1 1/2=

A. 2 1/2

B. 3 1/2

C. 1 1/2

D. 3

D. 3

500

2 3/8+ 2 7/8=

A. 5 3/4

B. 5 1/2

C. 5 1/4

D. 5

C. 5 1/4

4 10/8= 5 2/8

THEN 2/8 must be simplified to 1/4

So the answer is 5 and 1/4

Subtracting Fractions

100

3/4-1/4=

A. 1/4

B. 2/4

C. 7/8

D. 3/4

A. 2/4

Simplified, it is 1/2

200

1- 1/2=

A. 1 1/2

B. 1/2

C. 1/4

D. 3/4

B. 1/2

300

2 2/5- 1 1/5=

A. 1 2/5

B. 1 1/5

C. 1

D. 1 3/5

B. 1 1/5

400

2 7/8- 7/8=

A. 1 1/4

B. 2

C. 1 10/8

D. 7/8

B. 2

500

2 1/8- 7/8=

A. 1 1/4

B. 1 6/8

C. 1 10/8

D. 7/8

A. 1 1/4

1 2/10 must be simplified to 1 1/4

Converting mixed numbers and improper fractions

100

Convert 2 1/2 into an improper fraction.

A. 2 5/10

B. 4/2

C. 5/2

D. 3/2

C. 5/2

Multiply and add to get the numerator.

200

Convert 2 2/5 to an improper fraction.

A. 4/5

B. 10/5

C. 12/5

D. 7/5

C. 12/5

Multiply 2X5, then add 2 to get the numerator.

300

Convert 3 7/8 to an improper fraction.

A. 24/8

B. 31/8

C. 37/8

D. 30/8

B. 31/8

(3X8)+7=31

31/8

400

Convert 38/5 to a mixed number.

A. 8 8/5

B. 7 5/5

C. 7 3/5

D. 3 8/5

C. 7 3/5

Just divide the numerator by the denominator.  The leftovers, or remainders, are the numerator in the fractional part.

500

Convert 68/8 to a mixed number.

A. 7 16/8

B. 8 5/8

C. 8 3/4

D. 8 1/2

D. 8 1/2

68 divided by 8 is 8 remainder 4.

Since 4/8 can be simplified, the answer is 8 and 1/2