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.