Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

3. what is the missing number that makes the fractions equal? \\(\\frac…

Question

  1. what is the missing number that makes the fractions equal?

\\(\frac{3}{4}=\frac{9}{x}\\)

Explanation:

Step1: Analyze fraction - equivalence

We know that $\frac{3}{12}=\frac{3\div3}{12\div3}=\frac{1}{4}$. Let the missing number be $x$, so we have $\frac{x}{9}=\frac{1}{4}$.

Step2: Cross - multiply

Cross - multiplying gives us $4x = 9\times1$.

Step3: Solve for $x$

Dividing both sides of the equation $4x=9$ by 4, we get $x=\frac{9}{4} = 2.25$.

Answer:

$2.25$