Solve 22/3div4/7div18/21=

$$2 \frac { 2 } { 3 } \div \frac { 4 } { 7 } \div 1 \frac { 8 } { 21 } =$$

Evaluate

$$\frac{98}{29}\approx 3.379310345$$

Solution Steps

Divide \frac{\frac{2\times 3+2}{3}}{\frac{4}{7}} by \frac{1\times 21+8}{21} by multiplying \frac{\frac{2\times 3+2}{3}}{\frac{4}{7}} by the reciprocal of \frac{1\times 21+8}{21}.

$$\frac{\frac{2\times 3+2}{3}\times 21}{\frac{4}{7}\left(1\times 21+8\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{6+2}{3}\times 21}{\frac{4}{7}\left(1\times 21+8\right)}$$

Add 6 and 2 to get 8.

$$\frac{\frac{8}{3}\times 21}{\frac{4}{7}\left(1\times 21+8\right)}$$

Express \frac{8}{3}\times 21 as a single fraction.

$$\frac{\frac{8\times 21}{3}}{\frac{4}{7}\left(1\times 21+8\right)}$$

Multiply 8 and 21 to get 168.

$$\frac{\frac{168}{3}}{\frac{4}{7}\left(1\times 21+8\right)}$$

Divide 168 by 3 to get 56.

$$\frac{56}{\frac{4}{7}\left(1\times 21+8\right)}$$

Multiply 1 and 21 to get 21.

$$\frac{56}{\frac{4}{7}\left(21+8\right)}$$

Add 21 and 8 to get 29.

$$\frac{56}{\frac{4}{7}\times 29}$$

Express \frac{4}{7}\times 29 as a single fraction.

$$\frac{56}{\frac{4\times 29}{7}}$$

Multiply 4 and 29 to get 116.

$$\frac{56}{\frac{116}{7}}$$

Divide 56 by \frac{116}{7} by multiplying 56 by the reciprocal of \frac{116}{7}.

$$56\times \frac{7}{116}$$

Express 56\times \frac{7}{116} as a single fraction.

$$\frac{56\times 7}{116}$$

Multiply 56 and 7 to get 392.

$$\frac{392}{116}$$

Reduce the fraction \frac{392}{116} to lowest terms by extracting and canceling out 4.

$$\frac{98}{29}$$

Factor

$$\frac{2 \cdot 7 ^ {2}}{29} = 3\frac{11}{29} = 3.3793103448275863$$