Basic Math Examples

$\frac{2}{1} + \frac{d - 5}{6} = \frac{7}{1}$

Step 1

Simplify $\frac{2}{1} + \frac{d - 5}{6}$ .

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Step 1.1

Divide $2$ by $1$ .

$2 + \frac{d - 5}{6} = \frac{7}{1}$

Step 1.2

To write $2$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$2 \cdot \frac{6}{6} + \frac{d - 5}{6} = \frac{7}{1}$

Step 1.3

Simplify terms.

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Step 1.3.1

Combine $2$ and $\frac{6}{6}$ .

$\frac{2 \cdot 6}{6} + \frac{d - 5}{6} = \frac{7}{1}$

Step 1.3.2

Combine the numerators over the common denominator.

$\frac{2 \cdot 6 + d - 5}{6} = \frac{7}{1}$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $2$ by $6$ .

$\frac{12 + d - 5}{6} = \frac{7}{1}$

Step 1.4.2

Subtract $5$ from $12$ .

$\frac{d + 7}{6} = \frac{7}{1}$

Step 2

Divide $7$ by $1$ .

$\frac{d + 7}{6} = 7$

Step 3

Multiply both sides of the equation by $6$ .

$6 \frac{d + 7}{6} = 6 \cdot 7$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $6$ .

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Step 4.1.1.1

Cancel the common factor.

$6 \frac{d + 7}{6} = 6 \cdot 7$

Step 4.1.1.2

Rewrite the expression.

$d + 7 = 6 \cdot 7$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $6$ by $7$ .

$d + 7 = 42$

Step 5

Move all terms not containing $d$ to the right side of the equation.

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Step 5.1

Subtract $7$ from both sides of the equation.

$d = 42 - 7$

Step 5.2

Subtract $7$ from $42$ .

$d = 35$