Fraction Review

Estimating

100

7/12 + 4/12

1

200

Is it close to 1, 1/ or 0?

5/6 – 1/3

1/2

300

Is it close to 2, 1, 1/ or 0?

9/10 + 7/8

2

400

Is it close to 2, 1, 1/2 or 0

11/12 – 5/6

0

500

Alex is training for his school's Jog-A-Thon and needs to run at least 1 mile per day. If Alex runs to his grandma's house, which is 5/8 of a mile away, and then to his friend Justin's house, which is 1/2 of a mile away, will he have trained enough for the day?

Yes 5/8 is more than 1/2 so it will be more than a mile.

Common Denominator

100

Rewrite 1/4 as a fraction with denominator 8.

2/8

200

Rewrite 2/3 as a fraction with denominator 12.

8/12

300

Find the equivalent fraction  for 3/5 + 4/10.

12/20 + 8/20

400

Rewrite 5/6 and 3/8 with a common denominator

20/24 and 9/24

500

Rewrite 7/9 and 5/12 with a common denominator.

28/36 and 15/36

Correct the Errors

100

1/4 + 2/4 = 3/8

The student added the denominators.
When adding fractions with the same denominator, you only add the numerators.
Correct answer: 3/4

200

2/3 + 1/6 = 3/9

You cannot add denominators.
You must find a common denominator.
2/3 = 4/6
4/6 + 1/6 = 5/6

300

5/8 – 1/4 = 4/4

The student subtracted the denominators.
You must use a common denominator first.
1/4 = 2/8
5/8 – 2/8 = 3/8

400

3 1/2 + 2 3/4 = 5 4/6

The student did not find a common denominator.
1/2 = 2/4
2/4 + 3/4 = 5/4
5/4 = 1 1/4

Correct answer: 6 1/4

500

6 1/3 – 2 5/6 = 4 4/3

The student did not find a common denominator.
1/3 = 2/6

So:
6 2/6 – 2 5/6

Now we must regroup:
6 2/6 becomes 5 8/6

5 8/6 – 2 5/6 =
3 3/6 = 3 1/2

Subtraction

100

3/4 – 1/4

2/4 = 1/2

200

5/6 – 1/3

3/6 =1/2

300

7/8 – 3/4

1/8

400

4 1/2 – 2 3/4

1 2/4

500

6 1/3 – 2 5/6

3 3/6

Word Problems

100

A ribbon is 3/4 yard long. You cut off 1/3 yard. How much ribbon is left?

3/4 – 1/3 = 5/12 yards are left

200

Maria walked 2/5 mile in the morning and 3/10 mile in the afternoon. How far did she walk total?

2/5 + 3/10 = 7/10

300

A recipe needs 2 1/2 cups of flour. You already added 1 3/4 cups. How much more do you need?

2 1/2 – 1 3/4 = 3/4

400

Sam ran 4 2/3 miles this week. His goal was 6 miles. How much farther does he need to run?

6 – 4 2/3 = 1 1/3

500

A farmer harvested 5 3/4 acres of corn in the morning and 4 5/6 acres in the afternoon.

He plans to harvest 12 acres total.

How many more acres does he still need to harvest?

Morning + Afternoon:
5 3/4 + 4 5/6 = 10 7/12

12 – 10 7/12 = 1 5/12 acres