Respuesta :

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]

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