Solve 61/3div42/4=

$$6 \frac { 1 } { 3 } \div 4 \frac { 2 } { 4 } =$$

Evaluate

$$\frac{38}{27}\approx 1.407407407$$

Solution Steps

Divide \frac{6\times 3+1}{3} by \frac{4\times 4+2}{4} by multiplying \frac{6\times 3+1}{3} by the reciprocal of \frac{4\times 4+2}{4}.

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

Multiply 6 and 3 to get 18.

$$\frac{\left(18+1\right)\times 4}{3\left(4\times 4+2\right)}$$

Add 18 and 1 to get 19.

$$\frac{19\times 4}{3\left(4\times 4+2\right)}$$

Multiply 19 and 4 to get 76.

$$\frac{76}{3\left(4\times 4+2\right)}$$

Multiply 4 and 4 to get 16.

$$\frac{76}{3\left(16+2\right)}$$

Add 16 and 2 to get 18.

$$\frac{76}{3\times 18}$$

Multiply 3 and 18 to get 54.

$$\frac{76}{54}$$

Reduce the fraction \frac{76}{54} to lowest terms by extracting and canceling out 2.

$$\frac{38}{27}$$

Factor

$$\frac{2 \cdot 19}{3 ^ {3}} = 1\frac{11}{27} = 1.4074074074074074$$