Solve 119/59:28/21=

$$1 \frac { 19 } { 59 } : 2 \frac { 8 } { 21 } =$$

Evaluate

$$\frac{819}{1475}\approx 0.555254237$$

Solution Steps

Divide \frac{1\times 59+19}{59} by \frac{2\times 21+8}{21} by multiplying \frac{1\times 59+19}{59} by the reciprocal of \frac{2\times 21+8}{21}.

$$\frac{\left(1\times 59+19\right)\times 21}{59\left(2\times 21+8\right)}$$

Multiply 1 and 59 to get 59.

$$\frac{\left(59+19\right)\times 21}{59\left(2\times 21+8\right)}$$

Add 59 and 19 to get 78.

$$\frac{78\times 21}{59\left(2\times 21+8\right)}$$

Multiply 78 and 21 to get 1638.

$$\frac{1638}{59\left(2\times 21+8\right)}$$

Multiply 2 and 21 to get 42.

$$\frac{1638}{59\left(42+8\right)}$$

Add 42 and 8 to get 50.

$$\frac{1638}{59\times 50}$$

Multiply 59 and 50 to get 2950.

$$\frac{1638}{2950}$$

Reduce the fraction \frac{1638}{2950} to lowest terms by extracting and canceling out 2.

$$\frac{819}{1475}$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 13}{5 ^ {2} \cdot 59} = 0.5552542372881356$$