Fractions

Lowest Terms

100

Reduce the fraction to lowest terms. Are the pairs equivalent? 7/21 and 4/12

1/3 and 1/3 YES

200

Reduce the fraction to lowest terms. Are the pairs equivalent? 3/9 and 9/24

1/3 and 3/8 NO

300

Find the equivalent fraction in lowest terms for each fraction: 2/8 and 10/15

1/4 and 2/3

400

Find the equivalent fraction in lowest terms for each fraction: 20/24 and 36/81

5/6 and 4/9

500

Reduce the fractions to lowest terms. Are they equivalent? 15/16 and 30/32

15/16 and 15/16 YES

Decimals

100

Write the following fraction in decimal form. 3/6

0.5

200

Write the following fraction in decimal form. 7/8

0.875

300

Write the following fraction in decimal form. 7/10

0.7

400

Write the following fraction in decimal form. 26/16

1.625

500

Write the following fraction in decimal form. 20/16

1.25

Equivalent

100

Find the equivalent fraction by filling in the missing part. What number is the numerator and denominator multiplied by to get the equivalent fraction? 15/35 = ?/7

3/7 divided by 5

200

Find the equivalent fraction by filling in the missing part. What number is the numerator and denominator multiplied by to get the equivalent fraction? 3/4 = ?/20

15/20 x5

300

Find the equivalent fraction by filling in the missing part. What number is the numerator and denominator multiplied by to get the equivalent fraction? 5/16 = ?/32

10/32 x2

400

For each part below, write four other fractions that are equivalent to the given fraction. 2/7 = ?/49 = 10/? = ?/84 = 8/?

2/7 = 14/49 = 10/35 = 24/84 = 8/28

500

For each part below, write four other fractions that are equivalent to the given fraction. 1/2 = ?/10 = ?/64 = ?/28 = ?/56

1/2 = 5/10 = 32/64 = 14/28 = 28/56

Potpourri

100

Reduce the fraction to lowest terms. What is the numerator and denominator divided by to get the lowest term? 10/40

10/40 = 1/4 divided by 10

200

Casey ran 24/78 of a soccer field. In lowest terms, what fraction of the soccer field did Casey run?

4/13

300

What is the sum of the ODD factors of 30?

1+3+5+15= 24

400

List ALL positive factors of 96.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

500

Reduce the fractions to lowest terms. Are the pairs equivalent? 2/8 = ?/? and 8/10 = ?/?

2/8 = 1/4 and 8/10 = 4/5 NO

Story Problems

100

Sam shared a pizza with his friend. He ate 5/8 of the pizza. In decimal form, how much of the pizza did he eat?

0.625

200

Dave had $350 in his savings account. He took out $105 for weekend spending money. In decimal form, what fraction of his savings account did he take out?

0.3

300

Mr. Carlson, nicknamed "high roller", took a trip to Las Vegas. He came home with only 1/4 of the money he started with. In decimal form, how much did he LOSE? (Answer is not .25)

.75

400

Juan, Cesar, Allen, Chris, and Sam all took a quiz in different classes. Juan scored 8/10, Cesar scored 24/30, Allen got 4 out of 5, Chris received a 10/12, and Sam missed 20 questions out of 100. Which of the students' scores are equivalent fractions? Justify.

Juan 8/10, Cesar 24/30, and Allen 4/5 All can reduce to 4/5.

500

Steven has an order to make a bulletin board that is 48 square feet and the length and width must be whole numbers. He could make one that is 1 foot long by 48 feet wide or 48 feet long by 1 foot wide. How many different boards can he make? Sketch them with the numbers.

2Lx24W or 2Wx24L 3Lx16W or 3Wx16L 4Lx12W or 4Wx12L 6Lx8W or 6Wx8L