Solve 10 + \{2 1/2 + (4 1/2 - 1 1/4)\}

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$10+\{2\frac{1}{2}+(4\frac{1}{2}-1\frac{1}{4})\}$$

Evaluate

$\frac{63}{4}=15.75$

Solution Steps

Multiply $2$ and $2$ to get $4$.

$$10+\frac{4+1}{2}+\frac{4\times 2+1}{2}-\frac{1\times 4+1}{4}$$

Add $4$ and $1$ to get $5$.

$$10+\frac{5}{2}+\frac{4\times 2+1}{2}-\frac{1\times 4+1}{4}$$

Convert $10$ to fraction $\frac{20}{2}$.

$$\frac{20}{2}+\frac{5}{2}+\frac{4\times 2+1}{2}-\frac{1\times 4+1}{4}$$

Since $\frac{20}{2}$ and $\frac{5}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{20+5}{2}+\frac{4\times 2+1}{2}-\frac{1\times 4+1}{4}$$

Add $20$ and $5$ to get $25$.

$$\frac{25}{2}+\frac{4\times 2+1}{2}-\frac{1\times 4+1}{4}$$

Multiply $4$ and $2$ to get $8$.

$$\frac{25}{2}+\frac{8+1}{2}-\frac{1\times 4+1}{4}$$

Add $8$ and $1$ to get $9$.

$$\frac{25}{2}+\frac{9}{2}-\frac{1\times 4+1}{4}$$

Since $\frac{25}{2}$ and $\frac{9}{2}$ have the same denominator, add them by adding their numerators.

$$\frac{25+9}{2}-\frac{1\times 4+1}{4}$$

Add $25$ and $9$ to get $34$.

$$\frac{34}{2}-\frac{1\times 4+1}{4}$$

Divide $34$ by $2$ to get $17$.

$$17-\frac{1\times 4+1}{4}$$

Multiply $1$ and $4$ to get $4$.

$$17-\frac{4+1}{4}$$

Add $4$ and $1$ to get $5$.

$$17-\frac{5}{4}$$

Convert $17$ to fraction $\frac{68}{4}$.

$$\frac{68}{4}-\frac{5}{4}$$

Since $\frac{68}{4}$ and $\frac{5}{4}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-5}{4}$$

Subtract $5$ from $68$ to get $63$.

$$\frac{63}{4}$$

Show Solution

Factor

$\frac{3 ^ {2} \cdot 7}{2 ^ {2}} = 15\frac{3}{4} = 15.75$