Solve 122div(1-45div1310)

$$122 \div (1-45 \div 1310)$$

Evaluate

$$\frac{31964}{253}\approx 126.339920949$$

Solution Steps

Reduce the fraction \frac{45}{1310} to lowest terms by extracting and canceling out 5.

$$\frac{122}{1-\frac{9}{262}}$$

Convert 1 to fraction \frac{262}{262}.

$$\frac{122}{\frac{262}{262}-\frac{9}{262}}$$

Since \frac{262}{262} and \frac{9}{262} have the same denominator, subtract them by subtracting their numerators.

$$\frac{122}{\frac{262-9}{262}}$$

Subtract 9 from 262 to get 253.

$$\frac{122}{\frac{253}{262}}$$

Divide 122 by \frac{253}{262} by multiplying 122 by the reciprocal of \frac{253}{262}.

$$122\times \frac{262}{253}$$

Express 122\times \frac{262}{253} as a single fraction.

$$\frac{122\times 262}{253}$$

Multiply 122 and 262 to get 31964.

$$\frac{31964}{253}$$

Factor

$$\frac{2 ^ {2} \cdot 61 \cdot 131}{11 \cdot 23} = 126\frac{86}{253} = 126.3399209486166$$