To determine which ratio is equivalent to 978, we will compare each option as a fraction of 978.
-
326:
\(\frac{326}{978}\) – This does not simplify to 1, so it's not an equivalent ratio. -
Start Fraction 3 over 26 End Fraction:
\(\frac{3}{26} \times 978\) = \(\frac{3 \cdot 978}{26} = \frac{2934}{26}\) = 113.6154 (not an integer) -
13:
\(\frac{13}{978}\) – This does not simplify to 1, so it's not an equivalent ratio. -
Start Fraction 1 over 3 End Fraction:
\(\frac{1}{3} \times 978 = 326\) -
318:
\(\frac{318}{978}\) – This does not simplify to 1, so it's not an equivalent ratio. -
18:
\(\frac{18}{978}\) – This does not simplify to 1, so it's not an equivalent ratio.
Checking the fractions:
- For Start Fraction 3 over 26 End Fraction: Multiply 26 by a certain factor to see if it leads to flooring 978. It does not work.
The correct approach is noticing that \(978\) must outweigh in terms of equivalent fractions.
Dividing through each possibility; you state the element of 1/3 represents more than a ratio that cannot fulfill 978—therefore exploring fractions must yield at least a value near or equal to an expression of equivalent.
Thus through options:
The fraction \( \frac{1}{3} \) multiplied by 978 gives you a policy which interacts within close numerical values representing integers.
The better reflection would be linking this through: \(\frac{1}{3}\) turns directly into integer exchanges. Thus the only legitimate answer is Start Fraction 1 over 3 End Fraction as equivalent to 978 somewhat through interaction of ratios available.