Evaluate 2/3-(1/4*(5/6))÷2

$\frac{2}{3} - \frac{1}{4} \cdot (\frac{5}{6}) \div 2$

Simplify each term.

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Rewrite the division as a fraction.

$\frac{2}{3} - \frac{\frac{1}{4} \cdot (\frac{5}{6})}{2}$

Multiply $\frac{1}{4}$ and $\frac{5}{6}$ .

$\frac{2}{3} - \frac{\frac{5}{4 \cdot 6}}{2}$

Multiply $4$ by $6$ .

$\frac{2}{3} - \frac{\frac{5}{24}}{2}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2}{3} - (\frac{5}{24} \cdot \frac{1}{2})$

Multiply $\frac{5}{24} \cdot \frac{1}{2}$ .

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Multiply $\frac{5}{24}$ and $\frac{1}{2}$ .

$\frac{2}{3} - \frac{5}{24 \cdot 2}$

Multiply $24$ by $2$ .

$\frac{2}{3} - \frac{5}{48}$

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{16}{16}$ .

$\frac{2}{3} \cdot \frac{16}{16} - \frac{5}{48}$

Write each expression with a common denominator of $48$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{2}{3}$ and $\frac{16}{16}$ .

$\frac{2 \cdot 16}{3 \cdot 16} - \frac{5}{48}$

Multiply $3$ by $16$ .

$\frac{2 \cdot 16}{48} - \frac{5}{48}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 16 - 5}{48}$

Simplify the numerator.

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Multiply $2$ by $16$ .

$\frac{32 - 5}{48}$

Subtract $5$ from $32$ .

$\frac{27}{48}$

Cancel the common factor of $27$ and $48$ .

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Factor $3$ out of $27$ .

$\frac{3 (9)}{48}$

Cancel the common factors.

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Factor $3$ out of $48$ .

$\frac{3 \cdot 9}{3 \cdot 16}$

Cancel the common factor.

$\frac{3 \cdot 9}{3 \cdot 16}$

Rewrite the expression.

$\frac{9}{16}$

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{16}$

Decimal Form:

$0.5625$

Evaluate 2/3-(1/4*(5/6))÷2

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