Solve 157.69div966*2-36

$$157.69 \div 966 \times 2-36$$

Evaluate

$$-\frac{1723031}{48300}\approx -35.673519669$$

Solution Steps

Expand \frac{157.69}{966} by multiplying both numerator and the denominator by 100.

$$\frac{15769}{96600}\times 2-36$$

Express \frac{15769}{96600}\times 2 as a single fraction.

$$\frac{15769\times 2}{96600}-36$$

Multiply 15769 and 2 to get 31538.

$$\frac{31538}{96600}-36$$

Reduce the fraction \frac{31538}{96600} to lowest terms by extracting and canceling out 2.

$$\frac{15769}{48300}-36$$

Convert 36 to fraction \frac{1738800}{48300}.

$$\frac{15769}{48300}-\frac{1738800}{48300}$$

Since \frac{15769}{48300} and \frac{1738800}{48300} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15769-1738800}{48300}$$

Subtract 1738800 from 15769 to get -1723031.

$$-\frac{1723031}{48300}$$

Factor

$$-\frac{1723031}{48300} = -35\frac{32531}{48300} = -35.67351966873706$$