unit rates & proportions unit test 1 of 151 of 15 items question which ratio is equivalent to 978?(1 point) responses 13 start fraction 1 over 3 end fraction 18 start fraction 1 over 8 end fraction 318 start fraction 3 over 18 end fraction 326
The ratio equivalent to 978 is 326.
To find the ratio that is equivalent to 978, we need to simplify it.
978 can be simplified by dividing both the numerator and the denominator by their greatest common factor. In this case, the greatest common factor of 978 is 2.
So, if we divide 978 by 2, we get:
978 ÷ 2 = 489
Therefore, the ratio equivalent to 978 is 489.
To determine which ratio is equivalent to 978, we need to find a ratio with the same value when simplified.
Let's break down the given ratios:
Ratio 1: 13/1
Ratio 2: 1/3
Ratio 3: 18/1
Ratio 4: 1/8
Ratio 5: 3/18
Ratio 6: 3/26
To find the equivalent ratio, we need to simplify the given ratios:
Ratio 1: 13/1 = 13
Ratio 2: 1/3 = 0.33...
Ratio 3: 18/1 = 18
Ratio 4: 1/8 = 0.125
Ratio 5: 3/18 = 0.166...
Ratio 6: 3/26 = 0.115...
Now let's compare these simplified ratios to 978:
978 is between 3 and 18, so we can eliminate Ratio 1.
978 is greater than 0.33, 0.125, and 0.115, so we can eliminate Ratio 2, Ratio 4, and Ratio 6.
This leaves us with Ratio 3: 18 and Ratio 5: 0.166...
The ratio 978 is not exactly equal to any of the given ratios, but since 978 is closer to 1000 than to 100, we can deduce that the answer is Ratio 3: 18.
Therefore, the answer is Ratio 3: 18.