Question

Sushant reads ⅓ of a book in 1 hour.how much he will read in 2 1/5 hours? ​

Answer 1

Answer:

your answer

1 he reads 1/3, of the book

11/5 hours he reads ?

cross multiply

your answer is 11/15

Answer 2

Answer:- $\dfrac{5}{6}$

Step-by-step explanation:

The part of the book read by,

sushant in 1 hour = $\dfrac{1}{3}$

So,the part of the book read by him in $2 \times \frac{1}{5}$= $2 \times \frac{1}{5}$ × $\dfrac{1}{3}$

=$\dfrac{11}{5}×{1}{3}$ = $\dfrac{11×1}{5×3} = [tex]\dfrac{11}{15}$

Now find,

$\dfrac{1}{2}×{5}{3}$ .

We know that :-

$\dfrac{5}{3}$=$\dfrac{1}{3}$ × 5.

So, $\dfrac{1}{2}×{5}{3}$ = $\dfrac{1}{2}$×$\dfrac {1}{3}$×5

$\dfrac{1}{6}$ 5= $\dfrac{5}{6}$

Also, $\dfrac{5}{6}$ =$\dfrac{1×5}{2×3}$ .

Thus,

$\dfrac{1}{2}×{5}{3}$ = $\dfrac{1×5}{2×3}$ = $\dfrac{5}{6}$

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