Peter's family traveled 3/10 of the distance to his uncle’s house on Saturday. They traveled 3/7 of the remaining distance on Sunday. What fraction of the total distance to his uncle’s house was traveled on Sunday? (PLEASEE HELP!)

Respuesta :

Answer:

  • 3/10 of the total distance

Step-by-step explanation:

Travelled on Saturday:

  • 3/10 of the distance

Remaining distance:

  • 1 - 3/10 = 7/10 of the distance

Travelled on Sunday:

  • 3/7 of the 7/10, which is
  • 3/7*7/10 = 3/10

Answer : 3/10

Here it's given that Peter's family travelled 3/10 of the distance on Saturday . So if we assume the total distance to be 1 , then the remaining distance will be ,

[tex]\sf\longrightarrow 1 - \dfrac{3}{10}=\dfrac{10-3}{10}=\boxed{\dfrac{7}{10}}[/tex]

Again it's given that they travelled 3/7 of the remaining distance on Sunday . So , the distance travelled would be ,

[tex]\sf\longrightarrow \dfrac{3}{7}\times \dfrac{7}{10}=\boxed{\sf \dfrac{3}{10}} [/tex]

Therefore Peter's family travelled 3/10 of the total distance on Sunday .