Solve (51/3*63/4):4-23/4

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

Evaluate

$$\frac{25}{4}=6.25$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{\frac{15+1}{3}\times \frac{6\times 4+3}{4}}{4}-\frac{2\times 4+3}{4}$$

Add 15 and 1 to get 16.

$$\frac{\frac{16}{3}\times \frac{6\times 4+3}{4}}{4}-\frac{2\times 4+3}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{\frac{16}{3}\times \frac{24+3}{4}}{4}-\frac{2\times 4+3}{4}$$

Add 24 and 3 to get 27.

$$\frac{\frac{16}{3}\times \frac{27}{4}}{4}-\frac{2\times 4+3}{4}$$

Multiply \frac{16}{3} times \frac{27}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{16\times 27}{3\times 4}}{4}-\frac{2\times 4+3}{4}$$

Do the multiplications in the fraction \frac{16\times 27}{3\times 4}.

$$\frac{\frac{432}{12}}{4}-\frac{2\times 4+3}{4}$$

Divide 432 by 12 to get 36.

$$\frac{36}{4}-\frac{2\times 4+3}{4}$$

Divide 36 by 4 to get 9.

$$9-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$9-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$9-\frac{11}{4}$$

Convert 9 to fraction \frac{36}{4}.

$$\frac{36}{4}-\frac{11}{4}$$

Since \frac{36}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-11}{4}$$

Subtract 11 from 36 to get 25.

$$\frac{25}{4}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2}} = 6\frac{1}{4} = 6.25$$