Solve 1117.261-(0.0136)*1059/0.237

$$1117.261 - \frac { ( 0.0136 ) \cdot 1059 } { 0.237 }$$

Evaluate

$$\frac{83462819}{79000}\approx 1056.491379747$$

Solution Steps

Multiply 0.0136 and 1059 to get 14.4024.

$$1117.261-\frac{14.4024}{0.237}$$

Expand \frac{14.4024}{0.237} by multiplying both numerator and the denominator by 10000.

$$1117.261-\frac{144024}{2370}$$

Reduce the fraction \frac{144024}{2370} to lowest terms by extracting and canceling out 6.

$$1117.261-\frac{24004}{395}$$

Convert decimal number 1117.261 to fraction \frac{1117261}{1000}.

$$\frac{1117261}{1000}-\frac{24004}{395}$$

Least common multiple of 1000 and 395 is 79000. Convert \frac{1117261}{1000} and \frac{24004}{395} to fractions with denominator 79000.

$$\frac{88263619}{79000}-\frac{4800800}{79000}$$

Since \frac{88263619}{79000} and \frac{4800800}{79000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{88263619-4800800}{79000}$$

Subtract 4800800 from 88263619 to get 83462819.

$$\frac{83462819}{79000}$$

Factor

$$\frac{11 \cdot 31 \cdot 244759}{79 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 1056\frac{38819}{79000} = 1056.4913797468355$$