Solve 592/231frac{75{45}}

$$\frac{ 592 }{ 231 \frac { 75 } { 45 } }$$

Evaluate

$$\frac{888}{349}\approx 2.544412607$$

Solution Steps

Divide 592 by \frac{231\times 45+75}{45} by multiplying 592 by the reciprocal of \frac{231\times 45+75}{45}.

$$\frac{592\times 45}{231\times 45+75}$$

Multiply 592 and 45 to get 26640.

$$\frac{26640}{231\times 45+75}$$

Multiply 231 and 45 to get 10395.

$$\frac{26640}{10395+75}$$

Add 10395 and 75 to get 10470.

$$\frac{26640}{10470}$$

Reduce the fraction \frac{26640}{10470} to lowest terms by extracting and canceling out 30.

$$\frac{888}{349}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 37}{349} = 2\frac{190}{349} = 2.5444126074498565$$