Alexander reads $\frac{1}{8}$ $1/8$ of a book each night. How long will it take him to read $\frac{3}{4}$ $3/4$ of the book?

Question

Alexander reads $\frac{1}{8}$ $1/8$ of a book each night. How long will it take him to read $\frac{3}{4}$ $3/4$ of the book?

2 Answers

Impact of this question

6146 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-27T14:05:52

$6$ $6$ nights

Explanation:

As $\frac{3}{4} = \frac{2 \times 3}{2 \times 4} = \frac{6}{8}$ $3/4=(2xx3)/(2xx4)=6/8$ , it has $6$ $6$ one-eighths.

If Alexander reads $\frac{1}{8}$ $1/8$ i.e. one-eighth each night

to read $\frac{3}{4}$ $3/4$ or $\frac{6}{8}$ $6/8$ , it should take $6$ $6$ nights.

Answer 2 · 2018-07-27T14:07:41

It will take $6$ $6$ nights to read $\frac{3}{4}$ $3/4$ of the book

Explanation:

Let $x$ $x$ be the total number of nights taken by Alexander to read $\frac{3}{4}$ $3/4$ of his book then

$(portion of book read in one night) \times (number of nights) = \frac{3}{4}$ $\text{(portion of book read in one night)}\times \text{(number of nights)}=3/4$

$\frac{1}{8} x = \frac{3}{4}$ $1/8 x=3/4$

$x = \frac{3 \cdot 8}{4}$ $x={3\cdot 8}/4$

$= \frac{24}{4}$ $=24/4$

$= 6$ $=6$

Hence the Alexander will take $x = 6$ $x=6$ nights to read $\frac{3}{4}$ $3/4$ of his book

Science

Math

Humanities

... and beyond

Alexander reads $\frac{1}{8}$ $1/8$ of a book each night. How long will it take him to read $\frac{3}{4}$ $3/4$ of the book?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Alexander reads 181/8 of a book each night. How long will it take him to read 343/4 of the book?

2 Answers

Explanation:

Explanation:

Related questions

Impact of this question

Alexander reads $\frac{1}{8}$ $1/8$ of a book each night. How long will it take him to read $\frac{3}{4}$ $3/4$ of the book?