Solve (42/3*54/7)div31/4

$$( 4 \frac { 2 } { 3 } \times 5 \frac { 4 } { 7 } ) \div 3 \frac { 1 } { 4 }$$

Evaluate

$$8$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{\frac{12+2}{3}\times \frac{5\times 7+4}{7}}{\frac{3\times 4+1}{4}}$$

Add 12 and 2 to get 14.

$$\frac{\frac{14}{3}\times \frac{5\times 7+4}{7}}{\frac{3\times 4+1}{4}}$$

Multiply 5 and 7 to get 35.

$$\frac{\frac{14}{3}\times \frac{35+4}{7}}{\frac{3\times 4+1}{4}}$$

Add 35 and 4 to get 39.

$$\frac{\frac{14}{3}\times \frac{39}{7}}{\frac{3\times 4+1}{4}}$$

Multiply \frac{14}{3} times \frac{39}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14\times 39}{3\times 7}}{\frac{3\times 4+1}{4}}$$

Do the multiplications in the fraction \frac{14\times 39}{3\times 7}.

$$\frac{\frac{546}{21}}{\frac{3\times 4+1}{4}}$$

Divide 546 by 21 to get 26.

$$\frac{26}{\frac{3\times 4+1}{4}}$$

Multiply 3 and 4 to get 12.

$$\frac{26}{\frac{12+1}{4}}$$

Add 12 and 1 to get 13.

$$\frac{26}{\frac{13}{4}}$$

Divide 26 by \frac{13}{4} by multiplying 26 by the reciprocal of \frac{13}{4}.

$$26\times \frac{4}{13}$$

Express 26\times \frac{4}{13} as a single fraction.

$$\frac{26\times 4}{13}$$

Multiply 26 and 4 to get 104.

$$\frac{104}{13}$$

Divide 104 by 13 to get 8.

$$8$$

Factor

$$2^{3}$$