Which ratio is equivalent to 9/78 ?
To find an equivalent ratio to 9/78, we can simplify the numerator and denominator by dividing both by their greatest common divisor. By dividing 9 and 78 by 3, we get:
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the ratio equivalent to 9/78 is 3/26.
Lars purchases a new SUV. The car has a 15-gallon gas tank. If he can drive 330 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?(1 point)
_____ miles per gallon
To find the unit rate of miles per gallon, we need to divide the total number of miles (330) by the number of gallons (15).
330 miles ÷ 15 gallons = 22 miles per gallon
Therefore, the unit rate of miles per gallon Lars gets is 22 miles per gallon.
To determine which ratio is equivalent to 9/78, we need to simplify the given fraction by finding the greatest common divisor (GCD) of the numerator and denominator.
First, let's find the GCD of 9 and 78. We can use the Euclidean algorithm to do this:
Step 1: Divide 78 by 9.
78 ÷ 9 = 8 remainder 6
Step 2: Divide 9 by 6.
9 ÷ 6 = 1 remainder 3
Step 3: Divide 6 by 3.
6 ÷ 3 = 2 remainder 0
Since we've reached a remainder of 0, the GCD of 9 and 78 is 3.
Now, to simplify the fraction 9/78, we divide both the numerator and denominator by the GCD (3):
9 ÷ 3 = 3
78 ÷ 3 = 26
Therefore, the simplified fraction is 3/26.
In conclusion, the ratio that is equivalent to 9/78 is 3/26.