$\frac{1}{4} \times \frac{7}{9}=$

Step 1 ：Given the fractions \(\frac{1}{4}\) and \(\frac{7}{9}\)

Step 2 ：We are asked to multiply these fractions

Step 3 ：The rule for multiplying fractions is to multiply the numerators (the top numbers) to get the new numerator, and multiply the denominators (the bottom numbers) to get the new denominator

Step 4 ：So, we multiply the numerators 1 and 7 to get 7

Step 5 ：And we multiply the denominators 4 and 9 to get 36

Step 6 ：So, the result of the multiplication is \(\frac{7}{36}\)

Step 7 ：To convert this fraction to a decimal, we divide the numerator by the denominator

Step 8 ：So, \(\frac{7}{36} = 0.19444444444444445\)

Step 9 ：Final Answer: \(\boxed{0.19444444444444445}\)