Fractions
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Decimals and Fractions
Fractions and Decimals
Math Questions
100

Write >,<,= in the blanks to make the inequality true.

a. 4/5  ___  1/5

b. 7/10 ___ 7/12

c. 5/12 ___ 5/6

d. 6/8 ___ 5/8

a. 4/5 >  1/5

b. 7/10 >7/12

c. 5/12 < 5/6

d. 6/8 >5/8

100

The table shows a spice blend Katrina is making. She records the mass of each spice in the table. Which two spices have the same mass? 

Masses of Spices 

Spice:   Grams:

Garlic    1.8

Cumin    1.75

Turmeric    1.80

Chili Pepper    1.08

Garlic and Turmeric

100

In a survey, 8/10 of the students said they read a book last night. Complete the fraction equation. 

8/10 = ___ / 100

8/10 = 80 / 100

100

Ryan’s street is 5/8 mile long. Select the length that is shorter than 5/8 mile. Mark all that apply...

a. 3/4 mile 

b. 5/12 mile

c. 2/3 mile 

d. 2/5 mile


b. 5/12 mile

AND

d. 2/5 mile

100

Josh and Bradley each bought a carton of milk. Their cartons were the same except that Bradley’s carton was taller than Josh’s. Each boy drank 1/4 of his milk carton.

Did each drink the same amount of milk? Explain.  

No, the cartons are not the same size. For both to drink the same amount of milk, the cartons should be the same size.

200

Complete the chain of equivalent fractions.


2/7  =  __ /14  =  6/21  =  __ /28  

2/7  =  4/14  =  6/21  =  8/28  

200

Complete the chain of equivalent fractions.


12/48 = __ /12 = 2/ __ = 1/4

12/48 = 3/12 = 2/8 = 1/4

200

Write >, <, or =.

a. 3/4 __  2/8  

b. 2  7/8  __  2  3/7

c. 4/5 __  4/10

a. 3/4 >  2/8  

b. 2  7/8  > 2  3/7

c. 4/5 > 4/10

200

Write five fractions that are equivalent to 1/5.

Possible answers: 2/10, 3/15, 4/20, 5/25, 6/30

200

ole lives 2.4 miles from the library. Gwen lives 2.04 miles from the library. Xander lives 2.40 miles from the library. Who lives closest to the library: Cole, Gwen, or Xander?

Gwen

300

After making his art project, Robbie has 2/10 yard of rope left. What is 2/10 written as a decimal?

0.2 or 0.20

300

A 2-quart bottle of juice has 1,040 calories. Each serving is 1 cup. How many calories are in each serving of the juice? 

130 calories; 1 qt = 4 C; 2 qt = 8 C; 1 bottle = 8 servings; 1,040 ÷ 8 = 130

300

The perimeter of a photograph is 20 inches. The longer side of the photograph is 6 inches. What is the length of the shorter side? 

4 inches; 6 + 6 = 12; 20 - 12 = 8; 8 ÷ 2 = 4 inches

300

Peggy needs 3/4 cup of flour for each batch of pancakes. If she makes 5 batches of pancakes, how many cups of flour does she use?

f = 5 ⋅ 3/4

f = 3 3/4 

3 3/4 cups 

300

Compare. Use < or >

26.3 > 8.3

400

Compare. Use < or > 

6.31 __ 6.13

6.31 > 6.13

400

Solve.

5 ⋅ 2/3 =

10/3 or 3 1/3

400

Write these amounts as decimal numbers. 

a. 4 tenths

b. 8 cents 

c.  68/100  

a. 0.4

b. $.08

c.  0.68

400

Write each decimal in expanded form. 

153.76

100 + 50 + 3 + 0.7 + 0.06 

400

Write each decimal in expanded form. 

203.06

200 + 3 + 0.06

500

Solve.

8 5/6 - 4 4/6 =

8 5/6 - 4 4/6 = 4 1/6

500

Solve.

10 11/12 - 5 4/12 =

10 11/12 - 5 4/12 = 5 7/12 

500

Mrs. Schomburg wallet contains the below amount of money. How much money does she have? 

9 dimes, 5 nickels, 7 pennies, 1 quarter, $20, $100.

$121.47

500

There are 10 servings in a bag of pretzels. At a school picnic, 3 whole bags are eaten and 7 servings of another bag. What decimal number represents the number of bags of pretzels that are eaten?

3.7
500

On the first day of a trip, the Brenner family hikes 2.8 miles. On the second day, they hike 1 2/5 miles along a trail. They take a break, and hike back to where they started. Did they hike more the first day or the second day? Explain.

They hiked the same amount on both days. On the second day, they hiked 1 2/5 + 1 2/5 = 2 4/5 miles. This is equivalent to 2 8/10 miles, which is 2.8 as a decimal.

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