Question

How to solve 3/2 = 9/10k (in fraction form). Please show work

Answer 1

$\frac{3}{2}=\frac{9}{10k}\\\\ 3 \times 10 k=9 \times 2\\\\30 k=18\\\\k=\frac{18}{30}\\\\ \text{Dividing numerator and denominator by 6}\\\\k=\frac{3}{5}$

⇒Used Cross Multiplication Method

Answer 2

3/2 and 9/10. Look at the denominators. 2 times what number equals 10. That number would be 5. So if you multiply the first fractions denominator by 5 you get 10. Do the same to the top. you get a new fracrion which is 15/10. Add normally. 15/10 + 9/10 = 24/10. In lowest terms it is 2 2/5 (2 wholes and 2 out of 5)