Solve () 4 ( e) 30 - 2\{10 1/2 - (5/3 / (1/3))\}

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Question

$$30 - 2 \times \{ 10 \frac { 1 } { 2 } - ( \frac { 5 } { 3 } \div \frac { 1 } { 3 } ) \}$$

Evaluate

$19$

Solution Steps

Multiply $10$ and $2$ to get $20$.

$$30-2\left(\frac{20+1}{2}-\frac{\frac{5}{3}}{\frac{1}{3}}\right)$$

Add $20$ and $1$ to get $21$.

$$30-2\left(\frac{21}{2}-\frac{\frac{5}{3}}{\frac{1}{3}}\right)$$

Divide $\frac{5}{3}$ by $\frac{1}{3}$ by multiplying $\frac{5}{3}$ by the reciprocal of $\frac{1}{3}$.

$$30-2\left(\frac{21}{2}-\frac{5}{3}\times 3\right)$$

Cancel out $3$ and $3$.

$$30-2\left(\frac{21}{2}-5\right)$$

Convert $5$ to fraction $\frac{10}{2}$.

$$30-2\left(\frac{21}{2}-\frac{10}{2}\right)$$

Since $\frac{21}{2}$ and $\frac{10}{2}$ have the same denominator, subtract them by subtracting their numerators.

$$30-2\times \frac{21-10}{2}$$

Subtract $10$ from $21$ to get $11$.

$$30-2\times \frac{11}{2}$$

Cancel out $2$ and $2$.

$$30-11$$

Subtract $11$ from $30$ to get $19$.

$$19$$

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