Solve (4)46/7*2.8div52/3

$$( 4 ) 4 \frac { 6 } { 7 } \times 2.8 \div 5 \frac { 2 } { 3 }$$

Evaluate

$$9.6$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{4\times \frac{28+6}{7}\times 2.8}{\frac{5\times 3+2}{3}}$$

Add 28 and 6 to get 34.

$$\frac{4\times \frac{34}{7}\times 2.8}{\frac{5\times 3+2}{3}}$$

Express 4\times \frac{34}{7} as a single fraction.

$$\frac{\frac{4\times 34}{7}\times 2.8}{\frac{5\times 3+2}{3}}$$

Multiply 4 and 34 to get 136.

$$\frac{\frac{136}{7}\times 2.8}{\frac{5\times 3+2}{3}}$$

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{136}{7}\times \frac{14}{5}}{\frac{5\times 3+2}{3}}$$

Multiply \frac{136}{7} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{136\times 14}{7\times 5}}{\frac{5\times 3+2}{3}}$$

Do the multiplications in the fraction \frac{136\times 14}{7\times 5}.

$$\frac{\frac{1904}{35}}{\frac{5\times 3+2}{3}}$$

Reduce the fraction \frac{1904}{35} to lowest terms by extracting and canceling out 7.

$$\frac{\frac{272}{5}}{\frac{5\times 3+2}{3}}$$

Multiply 5 and 3 to get 15.

$$\frac{\frac{272}{5}}{\frac{15+2}{3}}$$

Add 15 and 2 to get 17.

$$\frac{\frac{272}{5}}{\frac{17}{3}}$$

Divide \frac{272}{5} by \frac{17}{3} by multiplying \frac{272}{5} by the reciprocal of \frac{17}{3}.

$$\frac{272}{5}\times \frac{3}{17}$$

Multiply \frac{272}{5} times \frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{272\times 3}{5\times 17}$$

Do the multiplications in the fraction \frac{272\times 3}{5\times 17}.

$$\frac{816}{85}$$

Reduce the fraction \frac{816}{85} to lowest terms by extracting and canceling out 17.

$$\frac{48}{5}$$

Factor

$$\frac{3 \cdot 2 ^ {4}}{5} = 9\frac{3}{5} = 9.6$$