Solve 53.25419-1/26(35.312)^2=

$$53.25419 - \frac { 1 } { 26 } ( 35.312 ) ^ { 2 } =$$

Evaluate

$$\frac{34417899}{6500000}\approx 5.295061385$$

Solution Steps

Calculate 35.312 to the power of 2 and get 1246.937344.

$$53.25419-\frac{1}{26}\times 1246.937344$$

Convert decimal number 1246.937344 to fraction \frac{1246937344}{1000000}. Reduce the fraction \frac{1246937344}{1000000} to lowest terms by extracting and canceling out 64.

$$53.25419-\frac{1}{26}\times \frac{19483396}{15625}$$

Multiply \frac{1}{26} times \frac{19483396}{15625} by multiplying numerator times numerator and denominator times denominator.

$$53.25419-\frac{1\times 19483396}{26\times 15625}$$

Do the multiplications in the fraction \frac{1\times 19483396}{26\times 15625}.

$$53.25419-\frac{19483396}{406250}$$

Reduce the fraction \frac{19483396}{406250} to lowest terms by extracting and canceling out 2.

$$53.25419-\frac{9741698}{203125}$$

Convert decimal number 53.25419 to fraction \frac{5325419}{100000}.

$$\frac{5325419}{100000}-\frac{9741698}{203125}$$

Least common multiple of 100000 and 203125 is 6500000. Convert \frac{5325419}{100000} and \frac{9741698}{203125} to fractions with denominator 6500000.

$$\frac{346152235}{6500000}-\frac{311734336}{6500000}$$

Since \frac{346152235}{6500000} and \frac{311734336}{6500000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{346152235-311734336}{6500000}$$

Subtract 311734336 from 346152235 to get 34417899.

$$\frac{34417899}{6500000}$$

Factor

$$\frac{1274737 \cdot 3 ^ {3}}{13 \cdot 2 ^ {5} \cdot 5 ^ {6}} = 5\frac{1917899}{6500000} = 5.2950613846153844$$