Solve 1/9*(60360)-65.3*112.2^2

$$\frac{ 1 }{ 9 } \times (60360)-65.3 \times { 112.2 }^{ 2 }$$

Evaluate

$$-\frac{611508439}{750}\approx -815344.585333333$$

Solution Steps

Multiply \frac{1}{9} and 60360 to get \frac{60360}{9}.

$$\frac{60360}{9}-65.3\times 112.2^{2}$$

Reduce the fraction \frac{60360}{9} to lowest terms by extracting and canceling out 3.

$$\frac{20120}{3}-65.3\times 112.2^{2}$$

Calculate 112.2 to the power of 2 and get 12588.84.

$$\frac{20120}{3}-65.3\times 12588.84$$

Multiply 65.3 and 12588.84 to get 822051.252.

$$\frac{20120}{3}-822051.252$$

Convert decimal number 822051.252 to fraction \frac{822051252}{1000}. Reduce the fraction \frac{822051252}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{20120}{3}-\frac{205512813}{250}$$

Least common multiple of 3 and 250 is 750. Convert \frac{20120}{3} and \frac{205512813}{250} to fractions with denominator 750.

$$\frac{5030000}{750}-\frac{616538439}{750}$$

Since \frac{5030000}{750} and \frac{616538439}{750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5030000-616538439}{750}$$

Subtract 616538439 from 5030000 to get -611508439.

$$-\frac{611508439}{750}$$

Factor

$$-\frac{611508439}{750} = -815344\frac{439}{750} = -815344.5853333334$$