916...the 9 is in the hundreds place so its value is 900
791...the 9 is in the tens place so its value is 90
900/90 = 10
so the 9 in 916 is 10 times bigger then the 9 in 791
When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at
miles) and use 3 more gallons, so you use
gallons, and you're done.
Hey there! I'm happy to help!
Let's call our fraction x.
x=3.777......
We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.
We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.
10x=37.7777
-
x=3.77777
=
9x=34
We divide both sides by 9.
x=34/9=3 7/9.
Have a wonderful day! :D