Solve 226162612+54226div2592*241941622+1166494*62161div2162

$$226162612+54226 \div 2592 \times 241941622+1166494 \times 62161 \div 2162$$

Evaluate

$$\frac{3727469584352755}{700488}\approx 5321246879.822002661$$

Solution Steps

Reduce the fraction \frac{54226}{2592} to lowest terms by extracting and canceling out 2.

$$226162612+\frac{27113}{1296}\times 241941622+\frac{1166494\times 62161}{2162}$$

Express \frac{27113}{1296}\times 241941622 as a single fraction.

$$226162612+\frac{27113\times 241941622}{1296}+\frac{1166494\times 62161}{2162}$$

Multiply 27113 and 241941622 to get 6559763197286.

$$226162612+\frac{6559763197286}{1296}+\frac{1166494\times 62161}{2162}$$

Reduce the fraction \frac{6559763197286}{1296} to lowest terms by extracting and canceling out 2.

$$226162612+\frac{3279881598643}{648}+\frac{1166494\times 62161}{2162}$$

Convert 226162612 to fraction \frac{146553372576}{648}.

$$\frac{146553372576}{648}+\frac{3279881598643}{648}+\frac{1166494\times 62161}{2162}$$

Since \frac{146553372576}{648} and \frac{3279881598643}{648} have the same denominator, add them by adding their numerators.

$$\frac{146553372576+3279881598643}{648}+\frac{1166494\times 62161}{2162}$$

Add 146553372576 and 3279881598643 to get 3426434971219.

$$\frac{3426434971219}{648}+\frac{1166494\times 62161}{2162}$$

Multiply 1166494 and 62161 to get 72510433534.

$$\frac{3426434971219}{648}+\frac{72510433534}{2162}$$

Reduce the fraction \frac{72510433534}{2162} to lowest terms by extracting and canceling out 2.

$$\frac{3426434971219}{648}+\frac{36255216767}{1081}$$

Least common multiple of 648 and 1081 is 700488. Convert \frac{3426434971219}{648} and \frac{36255216767}{1081} to fractions with denominator 700488.

$$\frac{3703976203887739}{700488}+\frac{23493380465016}{700488}$$

Since \frac{3703976203887739}{700488} and \frac{23493380465016}{700488} have the same denominator, add them by adding their numerators.

$$\frac{3703976203887739+23493380465016}{700488}$$

Add 3703976203887739 and 23493380465016 to get 3727469584352755.

$$\frac{3727469584352755}{700488}$$

Factor

$$\frac{5 \cdot 613 \cdot 1216140158027}{2 ^ {3} \cdot 3 ^ {4} \cdot 23 \cdot 47} = 5321246879\frac{575803}{700488} = 5321246879.822002$$