Deck 4: Decimals

Question 1

Add or subtract. Write the answer in lowest terms.

- $\frac{5}{16}+\frac{7}{16}$

Answer 1

$\frac{3}{4}$

Question 2

Add or subtract. Write the answer in lowest terms.
- $\frac{1}{8}+\frac{5}{8}$

Answer 2

$\frac{3}{4}$

Question 3

Add or subtract. Write the answer in lowest terms.
- $\frac{7}{9}-\frac{1}{9}$

Answer 3

$\frac{2}{3}$

Question 4

Add or subtract. Write the answer in lowest terms.
- $\frac{11}{14}-\frac{3}{14}$

Question 5

Find the least common multiple of each set of numbers.
- $2,5,6$

Question 6

Find the least common multiple of each set of numbers.
- $9,12,4,6$

Question 7

Find the least common multiple of each set of numbers.
- $28,36,18,16$

Question 8

Add or subtract. Write the answer in lowest terms.
- $\frac{3}{8}+\frac{1}{6}$

Question 9

Add or subtract. Write the answer in lowest terms.
- $\frac{2}{9}+\frac{7}{12}$

Question 10

Add or subtract. Write the answer in lowest terms.
- $\frac{9}{10}-\frac{5}{8}$

Question 11

Add or subtract. Write the answer in lowest terms.
- $\frac{5}{6}-\frac{3}{4}$

Question 12

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $4 \frac{1}{8}+3 \frac{2}{3}$

Question 13

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $4 \frac{11}{12}+1 \frac{1}{2}+2 \frac{1}{6}$

Question 14

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $5 \frac{1}{3}-3 \frac{5}{6}$

Question 15

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $16-9 \frac{7}{8}$

Question 16

First estimate the answer. Then solve each application problem.
-Elizabeth worked $5 \frac{1}{3}$ hours on Monday, $7 \frac{1}{2}$ hours on Tuesday, $6 \frac{1}{3}$ hours on Wednesday, and $4 \frac{5}{6}$ hours on Thursday. How many hours did she work altogether?

Question 17

First estimate the answer. Then solve each application problem.
-Joel takes a $16 \frac{1}{2}$ -foot pipe and cuts off two pieces.
If one piece is $2 \frac{3}{4}$ feet long and the other is $3 \frac{1}{8}$ feet long, how long is the remaining piece?

Question 18

Write $<$ or $>$ to make a true statement.
- $\frac{3}{4}$ ______ $\frac{5}{6}$

Question 19

Write $<$ or $>$ to make a true statement.
- $\frac{5}{8}$ _____ $\frac{7}{12}$

Question 20

Simplify each of the following. Use the order of operations as needed.
- $\frac{1}{2}+\frac{3}{4} \cdot \frac{8}{9}$

Question 21

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{2}{3}\right)^{2} \cdot 18$

Question 22

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{7}{10}-\frac{5}{12}\right) \cdot 15$

Question 23

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{7}{16}+\frac{3}{8}\right)-\left(\frac{1}{2}\right)^{2}$

Question 24

When is the least common multiple of two numbers equal to one of the numbers? Give an example showing this.

Question 25

Add or subtract. Write the answer in lowest terms.
- $\frac{7}{16}+\frac{1}{16}$

Question 26

Add or subtract. Write the answer in lowest terms.
- $\frac{5}{18}+\frac{3}{18}$

Question 27

Add or subtract. Write the answer in lowest terms.
- $\frac{9}{10}-\frac{3}{10}$

Question 28

Add or subtract. Write the answer in lowest terms.
- $\frac{7}{8}-\frac{3}{8}$

Question 29

Find the least common multiple of each set of numbers.
- $9,11,3$

Question 30

Find the least common multiple of each set of numbers.
- $8,10,12$

Question 31

Find the least common multiple of each set of numbers.
- $27,18,21,12$

Question 32

Add or subtract. Write the answer in lowest terms.
- $\frac{3}{8}+\frac{5}{12}$

Question 33

Add or subtract. Write the answer in lowest terms.
- $\frac{1}{4}+\frac{3}{8}$

Question 34

Add or subtract. Write the answer in lowest terms.
- $\frac{11}{16}-\frac{7}{12}$

Question 35

Add or subtract. Write the answer in lowest terms.
- $\frac{11}{14}-\frac{3}{4}$

Question 36

First estimate the answer. Then add or subtract to find the exact answer. Write the answer as a mixed number.
- $2 \frac{5}{6}+3 \frac{3}{8}$

Question 37

First estimate the answer. Then add or subtract to find the exact answer. Write the answer as a mixed number.
- $7 \frac{1}{8}+3 \frac{11}{12}$

Question 38

First estimate the answer. Then add or subtract to find the exact answer. Write the answer as a mixed number.
- $5 \frac{1}{6}-3 \frac{7}{8}$

Question 39

First estimate the answer. Then add or subtract to find the exact answer. Write the answer as a mixed number.
- $9-3 \frac{4}{7}$

Question 40

First estimate the answer. Then solve each application problem.
-If it rained $1 \frac{1}{4}$ inches on Monday, $2 \frac{1}{2}$ inches on Tuesday, $1 \frac{3}{4}$ inches on Wednesday, and $2 \frac{1}{4}$ inches on Thursday, how much rain fell altogether?

Question 41

First estimate the answer. Then solve each application problem.
-Arvana bought $12 \frac{1}{2}$ pounds of raspberries and shared them with her neighbors. If she gave $3 \frac{3}{4}$ pounds to one neighbor and $4 \frac{1}{4}$ pounds to the other, how many pounds will she have left?

Question 42

Write < or > to make a true statement.
- $\frac{3}{4}-\frac{11}{18}$

Question 43

Write < or > to make a true statement.
- $\frac{11}{12}--\frac{8}{9}$

Question 44

Simplify each of the following. Use the order of operations as needed.
- $25 \cdot\left(\frac{3}{5}\right)^{2}$

Question 45

Simplify each of the following. Use the order of operations as needed.
- $\frac{5}{6}+\frac{1}{2} \cdot \frac{7}{8}$

Question 46

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{1}{2}\right)^{2}-\left(\frac{3}{4}-\frac{2}{3}\right)$

Question 47

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{5}{6}-\frac{5}{12}\right) \cdot \frac{2}{3}$

Question 48

Explain in your own words how to write $\frac{3}{4}$ as an equivalent fraction with a denominator of 20.

Question 49

When adding or subtracting unlike fractions, what is the first step?

Question 50

Add or subtract. Write the answer in lowest terms.
- $\frac{7}{16}+\frac{3}{16}$

Question 51

Add or subtract. Write the answer in lowest terms.
- $\frac{1}{9}+\frac{5}{9}$

Question 52

Add or subtract. Write the answer in lowest terms.
- $\frac{13}{20}-\frac{7}{20}$

Question 53

Add or subtract. Write the answer in lowest terms.
- $\frac{11}{12}-\frac{5}{12}$

Question 54

Find the least common multiple of each set of numbers
- $7,9,3$

Question 55

Find the least common multiple of each set of numbers
- $24,10,9,16$

Question 56

Find the least common multiple of each set of numbers
- $36,27,18,10$

Question 57

Add or subtract. Write the answer in lowest terms.
- $\frac{3}{8}+\frac{1}{6}$

Question 58

Add or subtract. Write the answer in lowest terms.
- $\frac{8}{15}+\frac{3}{20}$

Question 59

Add or subtract. Write the answer in lowest terms.
- $\frac{8}{9}-\frac{3}{4}$

Question 60

Add or subtract. Write the answer in lowest terms.
- $\frac{8}{15}-\frac{3}{10}$

Question 61

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $2 \frac{5}{6}+7 \frac{7}{12}$

Question 62

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $1 \frac{1}{2}+4 \frac{3}{8}+3 \frac{5}{6}$

Question 63

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $6 \frac{2}{3}-4 \frac{7}{8}$

Question 64

First estimate the answer. Then add or subtract to findthe exact answer. Write the answer as a mixed number.
- $13-4 \frac{5}{8}$

Question 65

First estimate the answer. Then solve each application problem.
-Juan worked $6 \frac{3}{4}$ hours on Monday, $4 \frac{1}{2}$ hours on Tuesday, $7 \frac{1}{4}$ hours on Wednesday, and $5 \frac{3}{4}$ hours on Thursday. How many hours did he work altogether?

Question 66

First estimate the answer. Then solve each application problem.
-Tonya takes a $15 \frac{1}{4}$ -foot $\log$ and cuts off two pieces. If one piece is $3 \frac{1}{2}$ feet long and the other is $2 \frac{3}{4}$ feet long, how long is the remaining piece?

Question 67

Write $<$ or $>$ to make a true statement.
- $\frac{2}{5}-\frac{3}{8}$

Question 68

Write $<$ or $>$ to make a true statement.
- $\frac{5}{9}-\frac{4}{7}$

Question 69

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{5}{9}+\frac{1}{3}\right) \div \frac{4}{5}$

Question 70

Simplify each of the following. Use the order of operations as needed.
- $\frac{4}{9} \cdot\left(\frac{3}{7}\right)^{2}$

Question 71

Simplify each of the following. Use the order of operations as needed.
- $\frac{3}{4}+\frac{1}{2} \cdot \frac{5}{6}$

Question 72

Simplify each of the following. Use the order of operations as needed.
- $\left(\frac{9}{16}-\frac{5}{12}\right)+\left(\frac{1}{3}\right)^{2}$

Question 73

Simplify each of the following. Use the order of operations as needed.
-Explain in your own words how to subtract two like fractions. Give an example showing this.

Question 74

Simplify each of the following. Use the order of operations as needed.

-If two numbers have no factors in common, what will be the least common multiple of the numbers? Give an example to support your answer.

Question 75

Add or subtract. Write the answer in lowest terms.
- $\frac{5}{8}+\frac{1}{8}$

Question 76

Add or subtract. Write the answer in lowest terms.
- $\frac{3}{10}+\frac{1}{10}$

Question 77

Add or subtract. Write the answer in lowest terms.
- $\frac{11}{14}-\frac{5}{14}$

Question 78

Add or subtract. Write the answer in lowest terms.
- $\frac{8}{15}-\frac{2}{15}$

Question 79

Find the least common multiple of each set of numbers.
- $3,6,8$

Question 80

Find the least common multiple of each set of numbers.
- $12,16,36$