Solve 121.3+2*240.06+1/2205.138-2*140.92

$$121.3+2 \cdot 240.06+ \frac{ 1 }{ 2 } 205.138-2 \cdot 140.92$$

Evaluate

$$422.149$$

Solution Steps

Multiply 2 and 240.06 to get 480.12.

$$121.3+480.12+\frac{1}{2}\times 205.138-2\times 140.92$$

Add 121.3 and 480.12 to get 601.42.

$$601.42+\frac{1}{2}\times 205.138-2\times 140.92$$

Convert decimal number 205.138 to fraction \frac{205138}{1000}. Reduce the fraction \frac{205138}{1000} to lowest terms by extracting and canceling out 2.

$$601.42+\frac{1}{2}\times \frac{102569}{500}-2\times 140.92$$

Multiply \frac{1}{2} times \frac{102569}{500} by multiplying numerator times numerator and denominator times denominator.

$$601.42+\frac{1\times 102569}{2\times 500}-2\times 140.92$$

Do the multiplications in the fraction \frac{1\times 102569}{2\times 500}.

$$601.42+\frac{102569}{1000}-2\times 140.92$$

Convert decimal number 601.42 to fraction \frac{60142}{100}. Reduce the fraction \frac{60142}{100} to lowest terms by extracting and canceling out 2.

$$\frac{30071}{50}+\frac{102569}{1000}-2\times 140.92$$

Least common multiple of 50 and 1000 is 1000. Convert \frac{30071}{50} and \frac{102569}{1000} to fractions with denominator 1000.

$$\frac{601420}{1000}+\frac{102569}{1000}-2\times 140.92$$

Since \frac{601420}{1000} and \frac{102569}{1000} have the same denominator, add them by adding their numerators.

$$\frac{601420+102569}{1000}-2\times 140.92$$

Add 601420 and 102569 to get 703989.

$$\frac{703989}{1000}-2\times 140.92$$

Multiply 2 and 140.92 to get 281.84.

$$\frac{703989}{1000}-281.84$$

Convert decimal number 281.84 to fraction \frac{28184}{100}. Reduce the fraction \frac{28184}{100} to lowest terms by extracting and canceling out 4.

$$\frac{703989}{1000}-\frac{7046}{25}$$

Least common multiple of 1000 and 25 is 1000. Convert \frac{703989}{1000} and \frac{7046}{25} to fractions with denominator 1000.

$$\frac{703989}{1000}-\frac{281840}{1000}$$

Since \frac{703989}{1000} and \frac{281840}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{703989-281840}{1000}$$

Subtract 281840 from 703989 to get 422149.

$$\frac{422149}{1000}$$

Factor

$$\frac{7 \cdot 13 \cdot 4639}{2 ^ {3} \cdot 5 ^ {3}} = 422\frac{149}{1000} = 422.149$$