The product of two fractions is

Question:

The product of two fractions is $9 \frac{3}{5}$. If one of the fractions is $9 \frac{3}{7}$, find the other.

Solution:

Let the other fraction be x.

Now, we have:

$9 \frac{3}{7} \times x=9 \frac{3}{5}$

$\Rightarrow x=9 \frac{3}{5} \div 9 \frac{3}{7}$

$=\left(9+\frac{3}{5}\right) \div\left(9+\frac{3}{7}\right)$

$=\frac{48}{5} \div \frac{66}{7}$

$=\frac{48}{5} \times \frac{7}{66}$

$=\frac{48 \times 7}{5 \times 66}$

$=\frac{336}{330}$

$=\frac{56}{55}$

$=1 \frac{1}{55}$

Hence, the other fraction is $1 \frac{1}{55}$.

 

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now