4 over 9 = 13 over q

Question

asked Jan 15, 2024 180k views

1 Answer

Gjon · Answer 1 · 2024-01-21T07:46:31+0000

Hello!

Answer:

$\large \boxed{ \sf q =(117)/(4) }$

Explanation:

→ We want to solve this equation:

$\sf (4)/(9) =(13)/(q)$

◼ Put the fractions to the same denominator:

$\sf (4* q)/(9* q) =(13*9)/(q* 9)$

$\sf (4q)/(9q) =(117)/(9q)$

◼ Multiply both sides by 9q:

$\sf (4q)/(9q) * 9q=(117)/(9q)* 9q$

◼ Simplify both sides:

$\sf 4q = 117$

◼ Divide both sides by 4:

$\sf (4q)/(4) =(117)/(4)$

◼ Simplify both sides:

$\boxed{ \sf q =(117)/(4) }$

Conclusion:

The solution of the equation 4/9 = 13/q is 117/4.