Solve 4*1/3*7-(-4)^2/4*frac{1{3}}

$$\frac { 4 \cdot \frac { 1 } { 3 } \cdot 7 - ( - 4 ) ^ { 2 } } { 4 \cdot \frac { 1 } { 3 } }$$

Evaluate

$$-5$$

Solution Steps

Multiply 4 and \frac{1}{3} to get \frac{4}{3}.

$$\frac{\frac{4}{3}\times 7-\left(-4\right)^{2}}{4\times \frac{1}{3}}$$

Express \frac{4}{3}\times 7 as a single fraction.

$$\frac{\frac{4\times 7}{3}-\left(-4\right)^{2}}{4\times \frac{1}{3}}$$

Multiply 4 and 7 to get 28.

$$\frac{\frac{28}{3}-\left(-4\right)^{2}}{4\times \frac{1}{3}}$$

Calculate -4 to the power of 2 and get 16.

$$\frac{\frac{28}{3}-16}{4\times \frac{1}{3}}$$

Convert 16 to fraction \frac{48}{3}.

$$\frac{\frac{28}{3}-\frac{48}{3}}{4\times \frac{1}{3}}$$

Since \frac{28}{3} and \frac{48}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{28-48}{3}}{4\times \frac{1}{3}}$$

Subtract 48 from 28 to get -20.

$$\frac{-\frac{20}{3}}{4\times \frac{1}{3}}$$

Multiply 4 and \frac{1}{3} to get \frac{4}{3}.

$$\frac{-\frac{20}{3}}{\frac{4}{3}}$$

Divide -\frac{20}{3} by \frac{4}{3} by multiplying -\frac{20}{3} by the reciprocal of \frac{4}{3}.

$$-\frac{20}{3}\times \frac{3}{4}$$

Multiply -\frac{20}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-20\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-20}{4}$$

Divide -20 by 4 to get -5.

$$-5$$

Factor

$$-5$$