Finite Math Examples

$M = 100 - (100 \cdot \frac{d}{n})$

Step 1

Rewrite the equation as $100 - 1 \cdot 100 \cdot \frac{d}{n} = M$ .

$100 - 1 \cdot 100 \cdot \frac{d}{n} = M$

Step 2

Simplify each term.

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Step 2.1

Multiply $- 1$ by $100$ .

$100 - 100 \cdot \frac{d}{n} = M$

Step 2.2

Combine $- 100$ and $\frac{d}{n}$ .

$100 + \frac{- 100 d}{n} = M$

Step 2.3

Move the negative in front of the fraction.

$100 - \frac{100 d}{n} = M$

Step 3

Subtract $100$ from both sides of the equation.

$- \frac{100 d}{n} = M - 100$

Step 4

Divide each term in $- \frac{100 d}{n} = M - 100$ by $- 1$ and simplify.

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Step 4.1

Divide each term in $- \frac{100 d}{n} = M - 100$ by $- 1$ .

$\frac{- \frac{100 d}{n}}{- 1} = \frac{M}{- 1} + \frac{- 100}{- 1}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{\frac{100 d}{n}}{1} = \frac{M}{- 1} + \frac{- 100}{- 1}$

Step 4.2.2

Divide $\frac{100 d}{n}$ by $1$ .

$\frac{100 d}{n} = \frac{M}{- 1} + \frac{- 100}{- 1}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Simplify each term.

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Step 4.3.1.1

Move the negative one from the denominator of $\frac{M}{- 1}$ .

$\frac{100 d}{n} = - 1 \cdot M + \frac{- 100}{- 1}$

Step 4.3.1.2

Rewrite $- 1 \cdot M$ as $- M$ .

$\frac{100 d}{n} = - M + \frac{- 100}{- 1}$

Step 4.3.1.3

Divide $- 100$ by $- 1$ .

$\frac{100 d}{n} = - M + 100$

Step 5

Multiply both sides by $n$ .

$\frac{100 d}{n} n = (- M + 100) n$

Step 6

Simplify.

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Step 6.1

Simplify the left side.

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Step 6.1.1

Cancel the common factor of $n$ .

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Step 6.1.1.1

Cancel the common factor.

$\frac{100 d}{n} n = (- M + 100) n$

Step 6.1.1.2

Rewrite the expression.

$100 d = (- M + 100) n$

Step 6.2

Simplify the right side.

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Step 6.2.1

Simplify $(- M + 100) n$ .

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Step 6.2.1.1

Apply the distributive property.

$100 d = - M n + 100 n$

Step 6.2.1.2

Move $M$ .

$100 d = - 1 n M + 100 n$

Step 7

Divide each term in $100 d = - 1 n M + 100 n$ by $100$ and simplify.

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Step 7.1

Divide each term in $100 d = - 1 n M + 100 n$ by $100$ .

$\frac{100 d}{100} = \frac{- 1 n M}{100} + \frac{100 n}{100}$

Step 7.2

Simplify the left side.

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Step 7.2.1

Cancel the common factor of $100$ .

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Step 7.2.1.1

Cancel the common factor.

$\frac{100 d}{100} = \frac{- 1 n M}{100} + \frac{100 n}{100}$

Step 7.2.1.2

Divide $d$ by $1$ .

$d = \frac{- 1 n M}{100} + \frac{100 n}{100}$

Step 7.3

Simplify the right side.

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Step 7.3.1

Simplify each term.

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Step 7.3.1.1

Move the negative in front of the fraction.

$d = - \frac{n M}{100} + \frac{100 n}{100}$

Step 7.3.1.2

Cancel the common factor of $100$ .

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Step 7.3.1.2.1

Cancel the common factor.

$d = - \frac{n M}{100} + \frac{100 n}{100}$

Step 7.3.1.2.2

Divide $n$ by $1$ .

$d = - \frac{n M}{100} + n$