Basic Math Examples

$\frac{10}{3} + \frac{1}{7} G = 7$

Step 1

Combine $\frac{1}{7}$ and $G$ .

$\frac{10}{3} + \frac{G}{7} = 7$

Step 2

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

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Step 2.1

Subtract $\frac{10}{3}$ from both sides of the equation.

$\frac{G}{7} = 7 - \frac{10}{3}$

Step 2.2

To write $7$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{G}{7} = 7 \cdot \frac{3}{3} - \frac{10}{3}$

Step 2.3

Combine $7$ and $\frac{3}{3}$ .

$\frac{G}{7} = \frac{7 \cdot 3}{3} - \frac{10}{3}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{G}{7} = \frac{7 \cdot 3 - 10}{3}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $7$ by $3$ .

$\frac{G}{7} = \frac{21 - 10}{3}$

Step 2.5.2

Subtract $10$ from $21$ .

$\frac{G}{7} = \frac{11}{3}$

Step 3

Multiply both sides of the equation by $7$ .

$7 \frac{G}{7} = 7 (\frac{11}{3})$

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 $7$ .

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Step 4.1.1.1

Cancel the common factor.

$7 \frac{G}{7} = 7 (\frac{11}{3})$

Step 4.1.1.2

Rewrite the expression.

$G = 7 (\frac{11}{3})$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $7 (\frac{11}{3})$ .

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Step 4.2.1.1

Combine $7$ and $\frac{11}{3}$ .

$G = \frac{7 \cdot 11}{3}$

Step 4.2.1.2

Multiply $7$ by $11$ .

$G = \frac{77}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$G = \frac{77}{3}$

Decimal Form:

$G = 25.\overline{6}$

Mixed Number Form:

$G = 25 \frac{2}{3}$