Basic Math Examples

$42 = \frac{7}{10} y$

Step 1

Rewrite the equation as $\frac{7}{10} y = 42$ .

$\frac{7}{10} y = 42$

Step 2

Multiply both sides of the equation by $\frac{10}{7}$ .

$\frac{10}{7} (\frac{7}{10} y) = \frac{10}{7} \cdot 42$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{10}{7} (\frac{7}{10} y)$ .

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Step 3.1.1.1

Combine $\frac{7}{10}$ and $y$ .

$\frac{10}{7} \cdot \frac{7 y}{10} = \frac{10}{7} \cdot 42$

Step 3.1.1.2

Cancel the common factor of $10$ .

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Step 3.1.1.2.1

Cancel the common factor.

$\frac{10}{7} \cdot \frac{7 y}{10} = \frac{10}{7} \cdot 42$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{7} (7 y) = \frac{10}{7} \cdot 42$

Step 3.1.1.3

Cancel the common factor of $7$ .

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Step 3.1.1.3.1

Factor $7$ out of $7 y$ .

$\frac{1}{7} (7 (y)) = \frac{10}{7} \cdot 42$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{7} (7 y) = \frac{10}{7} \cdot 42$

Step 3.1.1.3.3

Rewrite the expression.

$y = \frac{10}{7} \cdot 42$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $\frac{10}{7} \cdot 42$ .

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Step 3.2.1.1

Cancel the common factor of $7$ .

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Step 3.2.1.1.1

Factor $7$ out of $42$ .

$y = \frac{10}{7} \cdot (7 (6))$

Step 3.2.1.1.2

Cancel the common factor.

$y = \frac{10}{7} \cdot (7 \cdot 6)$

Step 3.2.1.1.3

Rewrite the expression.

$y = 10 \cdot 6$

Step 3.2.1.2

Multiply $10$ by $6$ .

$y = 60$