Which ratio is equivalent to 978?(1 point)
Responses
3/26
Start Fraction 3 over 26 End Fraction
3/18
Start Fraction 3 over 18 End Fraction
1/8
Start Fraction 1 over 8 End Fraction
1/3
The correct ratio equivalent to 978 is 3/26.
To find the ratio that is equivalent to 978, we need to simplify it to the simplest form.
To simplify a ratio, we need to find the greatest common divisor (GCD) of the numbers in the ratio. In this case, the numbers in the ratio are 978 and 1.
To find the GCD, we can use the prime factorization method. The prime factorization of 978 is 2 * 3 * 163, and the prime factorization of 1 is just 1.
Now, we look for common factors between the two numbers. In this case, there are no common factors other than 1.
So, the GCD of 978 and 1 is 1.
To simplify the ratio, we divide both numbers by the GCD.
978 ÷ 1 = 978
1 ÷ 1 = 1
Therefore, the simplified ratio is 978/1, which is equivalent to 978.
To find a ratio that is equivalent to 978, we need to simplify the fraction 978/1.
Since 978 and 1 have no common factors other than 1, the simplified ratio is:
978/1 or 978:1