Question

7 1/2: 4 1/2= х ÷ 3/25​

Answer 1

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Answer 2

To solve for $x$ in the equation $7 \frac{1}{2} : 4 \frac{1}{2} = x \div \frac{3}{25}$, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions. $7 \frac{1}{2} = \frac{15}{2}$ and $4 \frac{1}{2} = \frac{9}{2}$.

So, the equation becomes: $\frac{15}{2} : \frac{9}{2} = x \div \frac{3}{25}$.

Step 2: Invert and multiply to divide fractions. When dividing fractions, you can invert the second fraction (the divisor) and multiply. So, the equation becomes: $\frac{15}{2} \times \frac{2}{9} = x \times \frac{25}{3}$.

Step 3: Simplify both sides of the equation. On the left side, you can cancel out common factors between the numerators and denominators: $\frac{15}{2} \times \frac{2}{9} = \frac{15 \times 2}{2 \times 9} = \frac{30}{18}$.

On the right side, you can also cancel out common factors: $x \times \frac{25}{3} = \frac{25x}{3}$.

So, the equation now looks like: $\frac{30}{18} = \frac{25x}{3}$.

Step 4: Solve for $x$. To isolate $x$, you can cross-multiply: $30 \times 3 = 18 \times 25x$.

Simplify: $90 = 450x$.

Now, divide both sides by 450 to solve for $x$: $x = \frac{90}{450}$

You can simplify this fraction further by finding the greatest common divisor (GCD) between 90 and 450, which is 90: $x = \frac{90}{90} \times \frac{1}{5} = 1 \times \frac{1}{5} = \frac{1}{5}$

So, the solution for $x$ is $\frac{1}{5}$.