Solve 7+2-3\times4\div((2)^(2)\timesy)

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Question

$$7+2-3 \times 4 \div ( { 2 }^{ 2 } \times y)$$

Evaluate

$9-\frac{3}{y}$

Short Solution Steps

Add $7$ and $2$ to get $9$.

$$9-\frac{3\times 4}{2^{2}y}$$

Multiply $3$ and $4$ to get $12$.

$$9-\frac{12}{2^{2}y}$$

Calculate $2$ to the power of $2$ and get $4$.

$$9-\frac{12}{4y}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply $9$ times $\frac{4y}{4y}$.

$$\frac{9\times 4y}{4y}-\frac{12}{4y}$$

Since $\frac{9\times 4y}{4y}$ and $\frac{12}{4y}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{9\times 4y-12}{4y}$$

Do the multiplications in $9\times 4y-12$.

$$\frac{36y-12}{4y}$$

Factor the expressions that are not already factored in $\frac{36y-12}{4y}$.

$$\frac{12\left(3y-1\right)}{4y}$$

Cancel out $4$ in both numerator and denominator.

$$\frac{3\left(3y-1\right)}{y}$$

Use the distributive property to multiply $3$ by $3y-1$.

$$\frac{9y-3}{y}$$

Show Solution

Factor

$\frac{3\left(3y-1\right)}{y}$