Solve 42/3div35/10div15/7

$$4 \frac{ 2 }{ 3 } \div \frac{ 35 }{ 10 } \div 1 \frac{ 5 }{ 7 }$$

Evaluate

$$\frac{7}{9}\approx 0.777777778$$

Solution Steps

Divide \frac{\frac{4\times 3+2}{3}}{\frac{35}{10}} by \frac{1\times 7+5}{7} by multiplying \frac{\frac{4\times 3+2}{3}}{\frac{35}{10}} by the reciprocal of \frac{1\times 7+5}{7}.

$$\frac{\frac{4\times 3+2}{3}\times 7}{\frac{35}{10}\left(1\times 7+5\right)}$$

Multiply 4 and 3 to get 12.

$$\frac{\frac{12+2}{3}\times 7}{\frac{35}{10}\left(1\times 7+5\right)}$$

Add 12 and 2 to get 14.

$$\frac{\frac{14}{3}\times 7}{\frac{35}{10}\left(1\times 7+5\right)}$$

Express \frac{14}{3}\times 7 as a single fraction.

$$\frac{\frac{14\times 7}{3}}{\frac{35}{10}\left(1\times 7+5\right)}$$

Multiply 14 and 7 to get 98.

$$\frac{\frac{98}{3}}{\frac{35}{10}\left(1\times 7+5\right)}$$

Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{98}{3}}{\frac{7}{2}\left(1\times 7+5\right)}$$

Multiply 1 and 7 to get 7.

$$\frac{\frac{98}{3}}{\frac{7}{2}\left(7+5\right)}$$

Add 7 and 5 to get 12.

$$\frac{\frac{98}{3}}{\frac{7}{2}\times 12}$$

Express \frac{7}{2}\times 12 as a single fraction.

$$\frac{\frac{98}{3}}{\frac{7\times 12}{2}}$$

Multiply 7 and 12 to get 84.

$$\frac{\frac{98}{3}}{\frac{84}{2}}$$

Divide 84 by 2 to get 42.

$$\frac{\frac{98}{3}}{42}$$

Express \frac{\frac{98}{3}}{42} as a single fraction.

$$\frac{98}{3\times 42}$$

Multiply 3 and 42 to get 126.

$$\frac{98}{126}$$

Reduce the fraction \frac{98}{126} to lowest terms by extracting and canceling out 14.

$$\frac{7}{9}$$

Factor

$$\frac{7}{3 ^ {2}} = 0.7777777777777778$$