Question

Find the value of $(\frac{8}{25}\times \frac{7}{3})\times \frac{15}{14}$.

• A. $\frac{4}{5}$
  
• B. $\frac{5}{4}$
  
• C. $\frac{15}{2}$
  
• D. $\frac{5}{8}$
  

Answer 1

The correct option is A $\frac{4}{5}$


We have to find the value of $(\frac{8}{25}\times \frac{7}{3})\times \frac{15}{14}$.

We know, as per associative property of rational numbers for multiplication we can write,
$(a\times b)\times c=a\times (b\times c)$ [For any rational number $a,bandc$]

So, we can write given expression $(\frac{8}{25}\times \frac{7}{3})\times \frac{15}{14}$ as $\frac{8}{25}\times (\frac{7}{3}\times \frac{15}{14})$

Now lets simplify the bracket first
$\frac{8}{25}\times (\frac{7}{3}\times \frac{15}{14})[15÷3=5\&14÷7=2]=\frac{8}{25}\times \frac{5}{2}[8÷2=4\&25÷5=5]=\frac{4}{5}$
Hence, option 'a' is correct.