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A student reads 2⁄5 of a book in 45 minutes. How much of the book will be read if the student reads at the same speed for 70 minutes? Write your answer as a fraction of a book

Respuesta :

1davey29
To start, determine the amount of time needed to finish the book. Do this by multiplying the amount read at 45 minutes by the total time to read the book (x) and setting it equal to the time read, 45 minutes. This gives you (2/5)x=45. Next, solve for x. (2/5)x=45, multiply both sides by 5, 2x=225, divide both sides by 2, x=225/2 minutes to read the whole book. Now, divide your new time, 70 minutes, by the total time to read a whole book. This gives you 70/(225/2), which you would multiply the top by the reciprocal of the bottom, giving you 70*(2/225), now, you multiply the numerators by each other and the denominators by eath other, getting (70*2)/(1*225)=140/225. Now, you simplify, first by dividing each by 5, 28/45, which is the most simplified it could be. This makes your answer 28/45 of the book read in 70 minutes.

Answer:

[tex]\frac{28}{45}[/tex] of the book student read in 70 minutes

Step-by-step explanation:

A student reads 2⁄5 of a book in 45 minutes.

In 45 minutes the student reads 2/5 of a book

In 1 minute the student reads 2/5 divide by 45

[tex]\frac{\frac{2}{5}}{45} = \frac{2}{225}[/tex]

In 1 minute the student reads  [tex]\frac{2}{225}[/tex]

In 70 minutes the student reads [tex]70* \frac{2}{225}[/tex]

[tex]\frac{140}{225}[/tex]

Now simplify the fraction

divide both sides by 5

[tex]\frac{28}{45}[/tex]

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