Which number is the least?

Step 1: Convert each fraction to a decimal (or mixed number)

22/3

22÷3≈7.33

40/6

40÷6≈6.67

31/5

31÷5=6.2

23/4

23÷4=5.75

41/8

41÷8=5.125

Step 2: Order from greatest to least

Compare decimals:

7.33>6.67>6.2>5.75>5.125

Convert back to fractions:

223>406>315>234>418

Step 1: Identify the smallest value

Numbers:

15, 22, 8, 30, 14, 10, 25

Smallest number:

8

Step 2: Identify the largest value

Largest number:

30

Step 3: Calculate the range

Range formula:

Range=Largest-Smallest
30-8= 22

Step 1: Understand equivalent fractions

Equivalent fractions are made by multiplying or dividing the numerator and denominator by the same number.

Step 2: Check each option

7/18

Denominator changed but numerator did not follow the same factor.

7/18≠7/8

49/64

7×7=49
8×8=64

This changes by different factors, so it is not equivalent.

35/40

7×5=35
8×5=40

Both multiplied by 5, so it is equivalent.

1 1/7

Convert to improper fraction:

Not equal to 7/8.

Step 1: Identify even numbers on a die

A standard die has numbers:

1, 2, 3, 4, 5, 6

Even numbers:

2,4,6

So:

3 even outcomes out of 6

Probability of even on one roll:

Step 2: Two independent rolls

Multiply the probabilities:

Step 1: Start with the equation

Step 2: Multiply both sides by 2x

Step 3: Simplify

Step 4: Solve for x

Simplify:

Convert each fraction to a decimal to compare.

1/3

1÷3≈0.333

2/5

2÷5=0.4

1/7

1÷7≈0.1429

3/8

3÷8=0.375

Compare the values

Step 1: Write the points for each group of games

First two games

Each game = x

Total:

x+x=2x

Next two games

Each game = x − 3

Total:

x-3)+(x-3
=2x-6

Last game

3x+2

Step 2: Add all points together

2x+(2x-6)+(3x+2)

Step 3: Combine like terms

Add the x terms

2x+2x+3x=7x

Add the constants

-6+2=-4

So the expression becomes:

7x-4

Step 1: Convert the fractions to decimals

6/15

6÷15=0.40

4/8

4÷8=0.50

6/10

6÷10=0.60

Step 2: Compare the values

0.40<0.50<0.60

Convert back to fractions:

6/15<4/8<6/10

This is a right triangle problem.

• Ladder = hypotenuse
• Building height = vertical side
• Distance from wall = base

Use the Pythagorean Theorem:

Where

• c=35ft (ladder)
• b=26ft (building)
• a=distance from wall

Step 1: Substitute the values

Step 2: Square the numbers

So:

Step 3: Solve for a2

Step 4: Take the square root

To convert a decimal to a percentage, multiply by 100.

0.05×100=5
0.05=5%