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erastova [34]
3 years ago
9

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?​

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

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.)

Step-by-step explanation:

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

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

<u>Convert to improper fractions;</u>

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

(5/3) ; (5/6)

2. Solve;

(5/3) ; (5/6)

<u>divide both sides by (5/6)</u>

(5/3) ; (5/6)

/(5/6)   /(5/6)

<u>Dividing a fraction is the same as multiplying by its reciprocal</u>

(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;

<u>Subtract the amount of time elapsed from that total amount of time</u>

total time - time used

2 hours - 1 2/3 hours

<u>Convert to improper fractions</u>

2 - 5/3

1/3 hour

<u>Convert to minutes</u>

20 minutes

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