Grade 8 Fractions

General Fractions

100

Reduce...

12/18

2/3

200

What is the top number of a fraction called?_{(Spelling counts)}

Numerator

300

Write as an improper fraction...

7 and 3/4

31/4

400

Write as a mixed number...

35/3

11 and 2/3

500

A proper fraction is between what two numbers?

0 and 1

Subtracting

100

3/4 - 1/4

1/2

subtract the numerators: 3 - 1 = 2, then keep the denominator the same

200

11/12 - 2/3

_{(reduce answer)}

1/4

300

5/6 - 1/3

1/2

Find a common denominator of 6:
1/3 = 2/6.
Now subtract: 5/6 - 2/6 = 3/6 = 1/2.
So, 5/6 - 1/3 = 1/2.

400

7/8 - 3/16

11/16

Find a common denominator of 16:
7/8 = 14/16.
Now subtract: 14/16 - 3/16 = 11/16.
So, 7/8 - 3/16 = 11/16

500

4  1/4   -   1  7/8

_{(reduce answer)}

2  3/8

Word Problems

100

Jack has 1/2 of a cake. His friend gives him 1/3 of the same cake. How much cake does Jack have now?

5/6

1/2 = 3/6, and 1/3 = 2/6.
3/6 + 2/6 = 5/6

200

Joel used 2/3 cup of milk and 1/4 cup of oil to make cookies. How much liquid did he use all together?

11/12

300

A farmer has 2/7 of an acre planted with tomatoes and 3/14 of an acre planted with cucumbers. How much of the farm is planted in tomatoes and cucumbers combined?

5/14

400

Callie earned $2400 playing hockey. She used 2/5 of this money to buy new skates. How much did the skates cost?

$960

500

Anna is making a fruit salad. She uses 1 1/2 cups of strawberries and 2 1/4 cups of blueberries. How many cups of fruit does she have in total?

3 3/4

1 1/2 = 3/2 and 2 1/4 = 9/4.

3/2 = 6/4

6/4 + 9/4 = 15/4 = 3 3/4

Adding

100

3/8 + 1/8

4/8 or 1/2

200

3/4 + 1/8

_{(reduce answer)}

7/8

300

2/3 + 1/6

5/6

400

7/12 + 5/18

31/36

500

5/8 + 2/3 + 7/12

67/24 or 2 19/24

Mixed

100

2 1/3 + 3 1/3

5 2/3

Add the whole numbers first: 2 + 3 = 5, then add the fractions: 1/3 + 1/3 = 2/3.

200

 2 3/4 + 1 1/2

4 1/4

Convert to improper fractions:
2 3/4 = 11/4 and 1 1/2 = 3/2.
Find a common denominator of 4:
3/2 = 6/4.
Now, 11/4 + 6/4 = 17/4.
Convert 17/4 back to a mixed number:
17/4 = 4 1/4.
So, 2 3/4 + 1 1/2 = 4 1/4.

300

1 2/5 + 2 3/10

3 7/10

Convert to improper fractions:
1 2/5 = 7/5 and 2 3/10 = 23/10.
Find a common denominator of 10:
7/5 = 14/10.
Now, 14/10 + 23/10 = 37/10.
Convert 37/10 back to a mixed number:
37/10 = 3 7/10.
So, 1 2/5 + 2 3/10 = 3 7/10.

400

3 2/5 + 4 3/8

7 31/40

Convert to improper fractions:
3 2/5 = 17/5 and 4 3/8 = 35/8.
Find a common denominator of 40:
17/5 = 136/40 and 35/8 = 175/40.
Now, 136/40 + 175/40 = 311/40.
Convert 311/40 back to a mixed number:
311/40 = 7 31/40.
So, 3 2/5 + 4 3/8 = 7 31/40.

500

Jessica is building a fence. She completes 2 3/4 feet of fence in the first hour and 3 1/8 feet in the second hour. How much fence has she completed in total?

5 7/8

Convert to improper fractions:
2 3/4 = 11/4 and 3 1/8 = 25/8.
Find a common denominator of 8:
11/4 = 22/8.
Now, 22/8 + 25/8 = 47/8.
Convert 47/8 back to a mixed number:
47/8 = 5 7/8.
So, Jessica has completed 5 7/8 feet of fence in total.