The product of given expression is [tex]\frac{1}{15} \text{ or } 0.0667[/tex]
Solution:
Given that we have to find the product and write it in lowest term
Given expression is:
[tex]\frac{7}{54} \times \frac{27}{35}[/tex]
Let us first find common factors of numerator and denominator so, thet simplification becomes easier
[tex]54 = 27 \times 3\\\\35 = 7 \times 5[/tex]
Substituting these in above expression, we get
[tex]\rightarrow \frac{7}{27 \times 3} \times \frac{27}{7 \times 5}[/tex]
Cancel the common factors in numerator and denominator
[tex]\rightarrow \frac{1}{15}[/tex]
In decimal form, we get
[tex]\rightarrow \frac{1}{15} = 0.0667[/tex]
Thus the product of given expression is [tex]\frac{1}{15} \text{ or } 0.0667[/tex]