Solve 45*89+254-987/frac{89{25}*4div39}

$$45 \times 89+254- \frac{ 987 }{ \frac{ 89 }{ 25 } \times 4 \div 39 }$$

Evaluate

$$\frac{553879}{356}\approx 1555.83988764$$

Solution Steps

Multiply 45 and 89 to get 4005.

$$4005+254-\frac{987}{\frac{\frac{89}{25}\times 4}{39}}$$

Add 4005 and 254 to get 4259.

$$4259-\frac{987}{\frac{\frac{89}{25}\times 4}{39}}$$

Divide 987 by \frac{\frac{89}{25}\times 4}{39} by multiplying 987 by the reciprocal of \frac{\frac{89}{25}\times 4}{39}.

$$4259-\frac{987\times 39}{\frac{89}{25}\times 4}$$

Multiply 987 and 39 to get 38493.

$$4259-\frac{38493}{\frac{89}{25}\times 4}$$

Express \frac{89}{25}\times 4 as a single fraction.

$$4259-\frac{38493}{\frac{89\times 4}{25}}$$

Multiply 89 and 4 to get 356.

$$4259-\frac{38493}{\frac{356}{25}}$$

Divide 38493 by \frac{356}{25} by multiplying 38493 by the reciprocal of \frac{356}{25}.

$$4259-38493\times \frac{25}{356}$$

Express 38493\times \frac{25}{356} as a single fraction.

$$4259-\frac{38493\times 25}{356}$$

Multiply 38493 and 25 to get 962325.

$$4259-\frac{962325}{356}$$

Convert 4259 to fraction \frac{1516204}{356}.

$$\frac{1516204}{356}-\frac{962325}{356}$$

Since \frac{1516204}{356} and \frac{962325}{356} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1516204-962325}{356}$$

Subtract 962325 from 1516204 to get 553879.

$$\frac{553879}{356}$$

Factor

$$\frac{673 \cdot 823}{2 ^ {2} \cdot 89} = 1555\frac{299}{356} = 1555.8398876404494$$