Question

rina walked 6/5 km in one weekend if she walked 2/3 km on saturday write an equation ha trepresents the distance, d that she walked on sunday

Answer 1

To find the distance \( d \) that Rina walked on Sunday, we can set up the following equation based on the information provided:

1. The total distance Rina walked over the weekend is \( \frac{6}{5} \) km.
2. The distance she walked on Saturday is \( \frac{2}{3} \) km.

Since the total distance is the sum of the distances walked on Saturday and Sunday, we can write the equation as:

\[
d + \frac{2}{3} = \frac{6}{5}
\]

To solve for \( d \), we will first isolate \( d \):

\[
d = \frac{6}{5} - \frac{2}{3}
\]

To subtract the fractions, we need a common denominator. The least common multiple of 5 and 3 is 15. We will convert both fractions:

\[
\frac{6}{5} = \frac{6 \times 3}{5 \times 3} = \frac{18}{15}
\]
\[
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
\]

Now substituting these values back into the equation:

\[
d = \frac{18}{15} - \frac{10}{15}
\]
\[
d = \frac{8}{15}
\]

So, Rina walked \( \frac{8}{15} \) km on Sunday.

In summary, the equation representing the distance that Rina walked on Sunday is:

\[
d + \frac{2}{3} = \frac{6}{5}
\]

And the solution is \( d = \frac{8}{15} \) km.