Question

Lucy is training for a long distance race. She runs 5/8 of a kilometre every day during her first week of training. How many kilometres did she run during her first week?​

Answer 1

$\large\underline{\text{Understanding the Question}}$

Lucy is training for a long-distance race.

On the first day, she runs $\dfrac{5}{8}$ kilometers.

The total distance is $\dfrac{5}{8}$ kilometers.

On the second day, she runs another $\dfrac{5}{8}$ kilometers.

The total distance is $\dfrac{5}{8}+\dfrac{5}{8}$ kilometers.

Now, what will be the distance she ran in a week?

$\large{\text{\underline{Solution}}}$

We would end up adding each distance she ran every day. In this situation, the product of numbers is used.

If she ran every day, since 7 days are in a week, she ran $\dfrac{5}{8}+\dfrac{5}{8}+\cdots+\dfrac{5}{8}\text{(km) (7 fractions are added altogether.)}$.

If we show this using product of numbers, the total distance will be $\dfrac{5}{8}\times7\text{ (km)}$. Now, if we calculate the product, we get $\dfrac{35}{8}\text{ (km)}$. In an improper fraction, the total distance will be $4\dfrac{3}{8}\text{ km}$.

$\large{\text{\underline{Answer}}}$

So, she ran $4\dfrac{3}{8}\text{ km}$ in the first week.

Answer 2

Step-by-step explanation:

given :

• Lucy is training for long distance race = 5/8

• kilometres every day = 1 week

to find :

• How many kilometres did she run during her first week = ?

• How many kilometres did she run during her first week = ?

solution :

first we will add the distance then , we will calculate the how much run

• run = 5/8 + 5/8+ 5/8 + 5/8 + 5/8 + 5/8+ 5/8

• so run = 7 time

• so , we will multiply 5/8 with 7 then we will divide

• with 5

• so answer is 35/8

now , we can write in improper fraction

so the answer is 4 3/8

every day run = 4 3/8