Question

find the product and write it in lowest terms.\\(\frac{18}{5} cdot \frac{7}{12}\\)

Explanation:

Step1: Multiply numerators and denominators

To find the product of two fractions, we multiply the numerators together and the denominators together. So, for \(\frac{18}{5} \cdot \frac{7}{12}\), we have \(\frac{18\times7}{5\times12}\).
\(18\times7 = 126\) and \(5\times12=60\), so the fraction becomes \(\frac{126}{60}\).

Step2: Simplify the fraction

We can simplify \(\frac{126}{60}\) by finding the greatest common divisor (GCD) of 126 and 60. The GCD of 126 and 60 is 6. We divide both the numerator and the denominator by 6.
\(\frac{126\div6}{60\div6}=\frac{21}{10}\)

Answer:

\(\frac{21}{10}\)