Question

write the ratio as a fraction in lowest terms.
7 days to 19 days

Explanation:

Step1: Define the ratio as a fraction

A ratio of \(a\) to \(b\) (where \(b
eq0\)) can be written as the fraction \(\frac{a}{b}\). For the ratio \(7\) days to \(18\) days, we write it as \(\frac{7}{18}\).

Step2: Check if the fraction can be simplified

To simplify a fraction \(\frac{a}{b}\), we find the greatest common divisor (GCD) of \(a\) and \(b\) and divide both the numerator and the denominator by the GCD. The factors of \(7\) are \(1\) and \(7\), and the factors of \(18\) are \(1, 2, 3, 6, 9, 18\). The GCD of \(7\) and \(18\) is \(1\). Since dividing \(7\) and \(18\) by \(1\) doesn't change the fraction, \(\frac{7}{18}\) is already in its lowest terms.

Answer:

\(\frac{7}{18}\)