Question

If five -eighth of a journey is 45km, what is three-forth of the journey?

Answer 1

To find three-fourths of the journey, set up a proportion: 5/8 = 45km and 3/4 = x. Cross multiply and solve for x. Three-fourths of the journey is approximately 16.875km.

Step-by-step explanation:

To find three-fourths of a journey, we can use the information that five-eighths of the journey is 45km. We can set up a proportion to solve for three-fourths:

5/8 = 45km
3/4 = x

Cross multiplying, we get:
8x = 3 * 45km

Simplifying, we have:
8x = 135km

Dividing both sides by 8 gives us:
x = 135/8

So, three-fourths of the journey is approximately 16.875km.

Answer 2

To find three-fourths of a journey when five-eighths equals 45 km, calculate the total distance first (72 km) and then determine three-fourths of it, which is 54 km.

Step-by-step explanation:

Calculating Three-Fourths of a Journey

If five-eighths of a journey is 45 km, to find the length of three-fourths of the journey, we first need to calculate the total distance of the journey. We can set up a proportion where five-eighths is to 45 km as one whole is to the total distance:

1. (5/8) / 1 = 45 km / Total Distance

2. Total Distance = (45 km × 8) / 5

3. Total Distance = 360 km / 5

4. Total Distance = 72 km

Now that we have the total distance of the journey, we can determine what three-fourths of it would be:

1. (3/4) of 72 km = (3/4) × 72 km

2. (3/4) of 72 km = 54 km

Therefore, three-fourths of the journey would be 54 km.

When completing these calculations, it's important to check whether the answer is reasonable. Comparing it with the information given (e.g., if five-eighths of the journey is 45 km, three-fourths should be more than 45 km since three-fourths is a greater fraction than five-eighths), the derived answer of 54 km for three-fourths of the journey seems reasonable.