Question

A man walks 33/4 km in 1 hour.how far does he go in 3 1 / 2 hours​

Answer 1

Answer:

The man has walked 13$\frac{1}{8}$ kms in three and a half hours.

Step-by-step explanation:

A man walks 3$\frac{3}{4}$ km in one hour.

To find how much he walks in three and a half hours, we have to multiply the amount of km he walks an hour with the amount of hours he takes to walk.

Convert the time and distance per hour into improper fractions to make multiplication easy.

Converting from mixed fraction to improper can be done by multiplying the denominator of the fraction to the whole number and adding the numerator of the fraction.

That number with the same denominator as the mixed fraction is it's improper fraction.

3$\frac{3}{4}$ = (4x3) + 3 = 15.

The improper form is $\frac{15}{4}$.

If we perform the same action for the time taken,

3$\frac{1}{2}$ = (2x3) + 1 = 7

The improper form is $\frac{7}{2}$.

Now, multiplying both of these gives,

$\frac{15}{4}$ × $\frac{7}{2}$   = $\frac{105}{8}$

This has to be converted into mixed form, once again, as answers cannot be left as improper fractions.

105 ÷ 8 will give a quotient of 13, and a remainder of 1.  

The way to write a mixed fraction is to take the whole number as the quotient, the remainder as the numerator and the number that you are dividing by as the denominator.

The man has walked 13$\frac{1}{8}$ kms in three and a half hours.