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it takes Louis 1 2/3 hours to write 5/6 of a short story how long will it take louis to complete the story?​

User Tdenniston
by
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1 Answer

5 votes

Answer:

2 hours to write the story.

1/3 of an hour remaining to complete the story.

20 minutes remaining.

(Read the explanation for further details.)

Explanation:

1.Based on the given information, set up an equation;

(1 2/3) hours ; (5/6) story

Convert to improper fractions;

(1 2/3) ; (5/6)

(5/3) ; (5/6)

2. Solve;

(5/3) ; (5/6)

divide both sides by (5/6)

(5/3) ; (5/6)

/(5/6) /(5/6)

Dividing a fraction is the same as multiplying by its reciprocal

(5/3)/(5/6) ; (5/3)/(5/3)

(5/3)*(6/5) ; (5/3)*(3/5)

2 ; 1

2 hours; 1 story

3. Solve for the time remaining;

Subtract the amount of time elapsed from that total amount of time

total time - time used

2 hours - 1 2/3 hours

Convert to improper fractions

2 - 5/3

1/3 hour

Convert to minutes

20 minutes

User Peter Neubauer
by
4.4k points