Which ratio is equivalent to 978?(1 point) Responses 18 Start Fraction 1 over 8 End Fraction 318 Start Fraction 3 over 18 End Fraction
To determine which ratio is equivalent to 978, we can simplify each of the given ratios:
18:
The only factor that both 18 and 978 share is 2. Since 978 is an odd number, it cannot be divided evenly by 2. Therefore, 978 is not equivalent to the ratio 18.
Start Fraction 1 over 8 End Fraction:
To simplify this ratio, we divide both the numerator and denominator by the greatest common factor, which is 1.
1 ÷ 1 = 1
8 ÷ 1 = 8
Therefore, the simplified ratio is 1:8.
318:
The only common factor that 318 and 978 share is 3. If we divide both the numerator and denominator by 3, we find:
318 ÷ 3 = 106
978 ÷ 3 = 326
Therefore, the simplified ratio is 106:326.
Start Fraction 3 over 18 End Fraction:
To simplify this ratio, we divide both the numerator and denominator by the greatest common factor, which is 3.
3 ÷ 3 = 1
18 ÷ 3 = 6
Therefore, the simplified ratio is 1:6.
Since the ratio 978 is equivalent to the ratio 106:326, the answer is 318.