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vovikov84 [41]
4 years ago
13

karl rode his bicycle 3/8 of the distance from Lakeview to bay cove,which is 24.1 miles. how many more does he need to ride to c

omplete his trip ?

Mathematics
2 answers:
Ivan4 years ago
4 0
If 3/8 of the distance has been covered, there is a remaining of 5/8 of the distance to complete the trip. 1 -  \frac{3}{8} =  \frac{8}{8} - \frac{3}{8} = \frac{5}{8}

If 3/8 of the distance equals to 24.1 miles, to find the remaining 5/8:

24.1÷ 3 × 5 = 40.2 (rounded to the nearest decimal)
monitta4 years ago
4 0

Answer:

Karl needs to ride 15.0625 miles more to complete his trip.

Step-by-step explanation:

There is a sketch attached to this answer.

If we divide the distance into eight equal parts, we can see <em>graphically</em> that Karl still needs to ride  \frac{5}{8} of the distance.

In other words, we are dealing here with <em>fractions</em>. The total is 24.1mi (in terms of fractions the total is 1).

We can confirm this following the next steps:

  • Karl needs to ride 24.1 miles from Lakeview to Bay Cove, that is, <em>the distance from Lakeview to Bay Cove</em>.
  • We know that he rode \\ \frac{3}{8} of the total distance, which is \\ d_{rode}=\frac{3}{8}*24.1mi=9.0375mi.
  • But, he still needs to ride the rest of this total distance, that is: <em>What is the rest of the total distance to ride?</em>
  • If we subtract what Karl has ridden to the total, we can determine the <em>remaining</em> distance <em>in terms of fractions</em>, that is: \\ d_{left}=1-\frac{3}{8}=\frac{8}{8}-\frac{3}{8}=\frac{5}{8}.
  • In other words, Karl still needs to ride \\ \frac{5}{8} of the total distance (as it was proposed at the beginning of this answer): \\ d_{to-ride} = \frac{5}{8}*24.1mi or \\ d_{to-ride} = 15.0625mi

Then, Karl still needs to ride 15.0625 miles <em>more</em> to complete his trip.

We can check this result:

\\ \frac{3}{8}+\frac{5}{8}=\frac{3+5}{8}=\frac{8}{8}=1.

\\ \frac{3}{8}*(24.1mi)=9.0375mi

\\ \frac{5}{8}*(24.1mi)=15.0625mi

Which give us the <em>total distance</em> = 9.0375mi + 15.0625mi = 24.1mi.

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