Which of the following fractions is equivalent to 7/8?

Step 1: Convert inches to feet

Remember:

• 12 inches = 1 foot
• 6 inches = 0.5 feet

So we convert the measurements.

Length

11 ft 5 in

5 inches ≈ 0.42 ft

So:

11 ft 5 in ≈ 11.42 ft

Width

14 ft 6 in

6 inches = 0.5 ft

So:

14 ft 6 in = 14.5 ft

Step 2: Round to the nearest foot

The question says round first before calculating.

Length

11.42 → 11 ft

Width

14.5 → 15 ft

Step 3: Calculate the estimated area

Area of a rectangle:

Area=Length×Width
11×15=165

✅ Estimated area = 165 ft²

✔ Final Answer: 165 ft²

Step 1: Convert the race distance to miles

Each runner runs 10,000 meters.

Using the conversion:

1 mile=1609.34 meters

Convert meters to miles:

10,0001609.34≈6.21

So one runner runs:

6.21 miles

Step 2: Find the total distance for 4 runners

6.21×4=24.84

Step 3: Round to the nearest hundredth

24.84≈24.85

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

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

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:

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 fractions to decimals

7/8

7÷8=0.875

8/9

8÷9≈0.8889

Step 2: List all values as decimals

• 0.86
• 0.875 (7/8)
• 0.8889 (8/9)
• 0.89

Step 3: Arrange from least to greatest

0.86<0.875<0.8889<0.89

Convert back to original forms:

0.86,  7/8,  8/9,  0.89

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: Understand what an outlier is

An outlier is a value that is much higher or much lower than the rest of the data.

Step 2: Look at the numbers

Data set:

7, 9, 10, 10, 12, 14, 43

Most values fall between:

7 and 14

Step 3: Identify the number far outside the pattern

43

This value is much larger than the rest, so it does not fit the pattern.