Solve 2/3div1/4*4-2^2

$$\frac { 2 } { 3 } \div \frac { 1 } { 4 } \times 4 - 2 ^ { 2 }$$

Evaluate

$$\frac{20}{3}\approx 6.666666667$$

Solution Steps

Divide \frac{2}{3} by \frac{1}{4} by multiplying \frac{2}{3} by the reciprocal of \frac{1}{4}.

$$\frac{2}{3}\times 4\times 4-2^{2}$$

Express \frac{2}{3}\times 4 as a single fraction.

$$\frac{2\times 4}{3}\times 4-2^{2}$$

Multiply 2 and 4 to get 8.

$$\frac{8}{3}\times 4-2^{2}$$

Express \frac{8}{3}\times 4 as a single fraction.

$$\frac{8\times 4}{3}-2^{2}$$

Multiply 8 and 4 to get 32.

$$\frac{32}{3}-2^{2}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{32}{3}-4$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{32}{3}-\frac{12}{3}$$

Since \frac{32}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-12}{3}$$

Subtract 12 from 32 to get 20.

$$\frac{20}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3} = 6\frac{2}{3} = 6.666666666666667$$