Basic Math Examples

$\frac{50}{7} = \frac{75}{d}$

Step 1

Rewrite the equation as $\frac{75}{d} = \frac{50}{7}$ .

$\frac{75}{d} = \frac{50}{7}$

Step 2

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$75 \cdot 7 = d \cdot 50$

Step 3

Solve the equation for $d$ .

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Step 3.1

Rewrite the equation as $d \cdot 50 = 75 \cdot 7$ .

$d \cdot 50 = 75 \cdot 7$

Step 3.2

Multiply $75$ by $7$ .

$d \cdot 50 = 525$

Step 3.3

Divide each term in $d \cdot 50 = 525$ by $50$ and simplify.

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Step 3.3.1

Divide each term in $d \cdot 50 = 525$ by $50$ .

$\frac{d \cdot 50}{50} = \frac{525}{50}$

Step 3.3.2

Simplify the left side.

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Step 3.3.2.1

Cancel the common factor of $50$ .

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Step 3.3.2.1.1

Cancel the common factor.

$\frac{d \cdot 50}{50} = \frac{525}{50}$

Step 3.3.2.1.2

Divide $d$ by $1$ .

$d = \frac{525}{50}$

Step 3.3.3

Simplify the right side.

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Step 3.3.3.1

Cancel the common factor of $525$ and $50$ .

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Step 3.3.3.1.1

Factor $25$ out of $525$ .

$d = \frac{25 (21)}{50}$

Step 3.3.3.1.2

Cancel the common factors.

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Step 3.3.3.1.2.1

Factor $25$ out of $50$ .

$d = \frac{25 \cdot 21}{25 \cdot 2}$

Step 3.3.3.1.2.2

Cancel the common factor.

$d = \frac{25 \cdot 21}{25 \cdot 2}$

Step 3.3.3.1.2.3

Rewrite the expression.

$d = \frac{21}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$d = \frac{21}{2}$

Decimal Form:

$d = 10.5$

Mixed Number Form:

$d = 10 \frac{1}{2}$