One lap of a racing circuit is 3 (wholes) and 3/4 km. Work out the total distance for 4 (wholes) and 1/2 laps.

d = (3 3/4km)/Lap * 4 1/2Laps.

d = 15/4 * 9/2 = 135/8 = 16 7/8 km.

To find the total distance for 4 and 1/2 laps, we first need to convert the given measurements into a common denominator.

One lap is equal to 3 (wholes) and 3/4 km.
So, 4 and 1/2 laps can be written as 4 + 1/2.

To convert 4 into a fraction, we multiply it by the denominator of 1/2, which is 2.
4 x 2 = 8

Now, we have 8 wholes.

Adding the converted fractions, we get:
8 + 1/2

To add the fractions together, we need a common denominator, which in this case is 2.
8 wholes can be represented as 8/1.

8/1 + 1/2 = (8 x 2 + 1) / 2 = 17/2

Therefore, 4 and 1/2 laps is equivalent to 17/2 laps.

Now, we can calculate the total distance by multiplying the number of laps by the distance covered in one lap:

Total distance = (Distance per lap) x (Number of laps)
= (3 3/4 km) x (17/2 laps)

To multiply fractions, we multiply the numerators and the denominators:

Total distance = (3 x 4 + 3) / 4 x 2 x 17
= (12 + 3) / 8 x 17
= 15 / 136

Therefore, the total distance for 4 and 1/2 laps of the racing circuit is 15/136 km.

To work out the total distance for 4 and 1/2 laps of a racing circuit, you need to find the distance for each lap and then multiply it by the number of laps.

Given that one lap is 3 wholes and 3/4 km, we can convert this into a mixed fraction:

3 wholes and 3/4 km = 3 + 3/4 = (3 * 4)/4 + 3/4 = 12/4 + 3/4 = 15/4 km

So, one lap is equal to 15/4 km.

Now we can calculate the total distance for 4 and 1/2 laps:

First, find the distance for 4 laps: 15/4 km * 4 = 60/4 km = 15 km

Next, calculate the distance for 1/2 lap: 15/4 km * 1/2 = 15/8 km

To find the total distance, add the distances for 4 laps and 1/2 lap:

Total distance = 15 km + 15/8 km

To add these fractions, you need to have a common denominator. In this case, the common denominator is 8.

15/8 km + 15/8 km = (15 + 15)/8 km = 30/8 km

Simplifying the fraction, 30/8 km can be written as 3 wholes and 3/4 km.

Therefore, the total distance for 4 and 1/2 laps is 3 wholes and 3/4 km.