Question

A car travels 5 1/4 km north, then 2 1/2 km west and finally 4 3/8 km north. What is the total distance travelled in kilometers? What fraction of the journey was travelled in a northerly direction​

Answer 1

Step-by-step explanation:

distance travelled towards the north=5 1/4+4 3/8

                                                           =lcm is 8

                                                          =21/4+35/8

                                                          =(21*2/4*2)+35/8

                                                          =42/8+35

fraction of distance traveled towards north  =77/8

distance traveled west=2 1/2

total distance =5/2+77/8

lcm=8

(5*4/2*4)+77/8

20/8+77/8

97/8

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Answer 2

Answer:

The total distance traveled by car in km = $\frac{97}{8}$km

The fraction of the journey the car traveled in the north direction=$\frac{77}{97}$

Step-by-step explanation:

Given,

A car travels$5\frac{1}{4}$ km north, then $2\frac{1}{2}$ km west and finally $4\frac{3}{8}$ km north

To find,

The total distance traveled by car in km

A fraction of the journey the car traveled in the north direction

Solution:

Since the car traveled $5\frac{1}{4}$ km north, then $2\frac{1}{2}$ km  west and finally  $4\frac{3}{8}$ km  north,

The total distance traveled =

= $5\frac{1}{4} + 2\frac{1}{2} + 4\frac{3}{8}$

= $\frac{21}{4} + \frac{5}{2} + \frac{35}{8}$

LCM of the denominators = 8

=$\frac{42+20+35}{8}$

= $\frac{97}{8}$

Total distance traveled = $\frac{97}{8}$

Total distance traveled in the north direction = $5\frac{1}{4} + 4\frac{3}{8}$

$=\frac{21}{4} + \frac{35}{8}$

LCM of the denominators  = 8

= $\frac{42+35}{8}$

= $\frac{77}{8}$

The total distance traveled in the north direction = =$\frac{77}{8}$

Fraction of the journey traveled in the northern direction = $\frac{\frac{77}{8}}{\frac{97}{8}}$

=$\frac{77}{97}$

Answer:

The total distance traveled by car in km = $\frac{97}{8}$km

The fraction of the journey the car traveled in the north direction=$\frac{77}{97}$

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