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

Step 1: Convert the mixed number to an improper fraction

Step 2: Rewrite the division

When dividing fractions, multiply by the reciprocal.

Step 3: Multiply

Step 4: Convert to a mixed number

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

1️⃣ 9/2

9÷2=4.5

2️⃣ 10/3

10÷3≈3.33

Step 2: Compare all values

Step 3: Identify the greatest number

4.5>4.4>4.25>3.33

✅ Correct Answer

9/2

Step 1: Convert miles to meters

26.2×1609.34
=42,164.708 meters

Step 2: Convert meters to kilometers

1 kilometer=1000 meters
42,164.708÷1000
=42.164708

Step 3: Round to the nearest hundredth

42.164708≈42.16

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: Convert time to hours

Total time:

Step 2: Use the distance formula

Step 3: Calculate

Step-by-Step Solution

Step 1: Move the x terms to one side

Subtract 6x from both sides:

6x-5=10x+15
-5=4x+15

Step 2: Move the constant to the other side

Subtract 15 from both sides:

-5-15=4x
-20=4x

Step 3: Solve for x

Divide both sides by 4:

x=-204
x=-5

Step 1: Multiply teaspoons by mL per teaspoon

2.5×4.93

Step 2: Perform the multiplication

4.93×2.5
=12.325

Step 1: Find the scaling factor

The cookies increase from:

24→60
60÷24=2.5

So the recipe is 2.5 times larger.

Step 2: Multiply the sugar amount

Original sugar:

Multiply by 2.5:

Convert 2.5 to fraction:

Step 3: Multiply

Simplify:

Convert to mixed number:

Step 1: Convert pounds to kilograms

170×0.454
=77.18 kg

Step 2: Apply the dosage

Dosage = 2 mg per kg

77.18×2=154.36
Step 3: Round to the nearest whole number

154.36≈154