Algebra Examples

$[\begin{array}{c} \frac{2}{3} & 6 \\ 4 & - \frac{3}{4} \end{array}] - [\begin{array}{c} - 1 & - 1 \\ 0 & - \frac{23}{4} \end{array}]$

Step 1

Subtract the corresponding elements.

$[\begin{array}{c} \frac{2}{3} + 1 & 6 + 1 \\ 4 - 0 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2

Simplify each element.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$[\begin{array}{c} \frac{2}{3} + \frac{3}{3} & 6 + 1 \\ 4 - 0 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2.2

Combine the numerators over the common denominator.

$[\begin{array}{c} \frac{2 + 3}{3} & 6 + 1 \\ 4 - 0 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2.3

Add $2$ and $3$ .

$[\begin{array}{c} \frac{5}{3} & 6 + 1 \\ 4 - 0 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2.4

Add $6$ and $1$ .

$[\begin{array}{c} \frac{5}{3} & 7 \\ 4 - 0 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2.5

Subtract $0$ from $4$ .

$[\begin{array}{c} \frac{5}{3} & 7 \\ 4 & - \frac{3}{4} + \frac{23}{4} \end{array}]$

Step 2.6

Combine the numerators over the common denominator.

$[\begin{array}{c} \frac{5}{3} & 7 \\ 4 & \frac{- 3 + 23}{4} \end{array}]$

Step 2.7

Add $- 3$ and $23$ .

$[\begin{array}{c} \frac{5}{3} & 7 \\ 4 & \frac{20}{4} \end{array}]$

Step 2.8

Divide $20$ by $4$ .

$[\begin{array}{c} \frac{5}{3} & 7 \\ 4 & 5 \end{array}]$