Solve for g 1 7/10g=135

$1 \frac{7}{10} g = 135$

Step 1

Simplify the left side.

Simplify $1 \frac{7}{10} g$ .

Convert $1 \frac{7}{10}$ to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

$(1 + \frac{7}{10}) g = 135$

Add $1$ and $\frac{7}{10}$ .

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

$(\frac{10}{10} + \frac{7}{10}) g = 135$

Combine the numerators over the common denominator.

$\frac{10 + 7}{10} g = 135$

Add $10$ and $7$ .

$\frac{17}{10} g = 135$

Combine $\frac{17}{10}$ and $g$ .

$\frac{17 g}{10} = 135$

Step 2

Multiply both sides of the equation by $\frac{10}{17}$ .

$\frac{10}{17} \cdot \frac{17 g}{10} = \frac{10}{17} \cdot 135$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{10}{17} \cdot \frac{17 g}{10}$ .

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10}{17} \cdot \frac{17 g}{10} = \frac{10}{17} \cdot 135$

Rewrite the expression.

$\frac{1}{17} (17 g) = \frac{10}{17} \cdot 135$

Cancel the common factor of $17$ .

Factor $17$ out of $17 g$ .

$\frac{1}{17} (17 (g)) = \frac{10}{17} \cdot 135$

Cancel the common factor.

$\frac{1}{17} (17 g) = \frac{10}{17} \cdot 135$

Rewrite the expression.

$g = \frac{10}{17} \cdot 135$

Simplify the right side.

Multiply $\frac{10}{17} \cdot 135$ .

Combine $\frac{10}{17}$ and $135$ .

$g = \frac{10 \cdot 135}{17}$

Multiply $10$ by $135$ .

$g = \frac{1350}{17}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$g = \frac{1350}{17}$

Decimal Form:

$g = 79.41176470 \dots$

Mixed Number Form:

$g = 79 \frac{7}{17}$

Solve for g 1 7/10g=135

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