Solve 7,99(0.1533/0.3833)+2(0.025/0.763)

$$7,99 ( \frac { 0.1533 } { 0.3833 } ) + 2 ( \frac { 0.025 } { 0.763 } )$$

Sort

$$7,\frac{115989871}{2924579}$$

Solution Steps

Expand \frac{0.1533}{0.3833} by multiplying both numerator and the denominator by 10000.

$$sort(7,99\times \frac{1533}{3833}+2\times \frac{0.025}{0.763})$$

Express 99\times \frac{1533}{3833} as a single fraction.

$$sort(7,\frac{99\times 1533}{3833}+2\times \frac{0.025}{0.763})$$

Multiply 99 and 1533 to get 151767.

$$sort(7,\frac{151767}{3833}+2\times \frac{0.025}{0.763})$$

Expand \frac{0.025}{0.763} by multiplying both numerator and the denominator by 1000.

$$sort(7,\frac{151767}{3833}+2\times \frac{25}{763})$$

Express 2\times \frac{25}{763} as a single fraction.

$$sort(7,\frac{151767}{3833}+\frac{2\times 25}{763})$$

Multiply 2 and 25 to get 50.

$$sort(7,\frac{151767}{3833}+\frac{50}{763})$$

Least common multiple of 3833 and 763 is 2924579. Convert \frac{151767}{3833} and \frac{50}{763} to fractions with denominator 2924579.

$$sort(7,\frac{115798221}{2924579}+\frac{191650}{2924579})$$

Since \frac{115798221}{2924579} and \frac{191650}{2924579} have the same denominator, add them by adding their numerators.

$$sort(7,\frac{115798221+191650}{2924579})$$

Add 115798221 and 191650 to get 115989871.

$$sort(7,\frac{115989871}{2924579})$$

Convert decimal numbers in the list 7,\frac{115989871}{2924579} to fractions.

$$7,\frac{115989871}{2924579}$$

Evaluate

$$7,\frac{115989871}{2924579}$$