Basic Math Examples

\frac{6.375}{17} y = \frac{3}{4}

$\frac{6.375}{17} y = \frac{3}{4}$

Step 1

Divide

6.375

$6.375$ by

17

$17$ .

0.375 y = \frac{3}{4}

$0.375 y = \frac{3}{4}$

Step 2

Divide each term in

0.375 y = \frac{3}{4}

$0.375 y = \frac{3}{4}$ by

0.375

$0.375$ and simplify.

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Step 2.1

Divide each term in

0.375 y = \frac{3}{4}

$0.375 y = \frac{3}{4}$ by

0.375

$0.375$ .

\frac{0.375 y}{0.375} = \frac{\frac{3}{4}}{0.375}

$\frac{0.375 y}{0.375} = \frac{\frac{3}{4}}{0.375}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

0.375

$0.375$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{0.375 y}{0.375} = \frac{\frac{3}{4}}{0.375}$

Step 2.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{\frac{3}{4}}{0.375}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$y = \frac{3}{4} \cdot \frac{1}{0.375}$

Step 2.3.2

Cancel the common factor of

$0.375$ .

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Step 2.3.2.1

Factor

$0.375$ out of

$3$ .

$y = \frac{0.375 (8)}{4} \cdot \frac{1}{0.375}$

Step 2.3.2.2

Cancel the common factor.

$y = \frac{0.375 \cdot 8}{4} \cdot \frac{1}{0.375}$

Step 2.3.2.3

Rewrite the expression.

$y = \frac{8}{4}$

Step 2.3.3

Divide

$8$ by

$4$ .

$y = 2$