Solve (1+0.84*(1.8-1)/0.76+1/0.86-1)

$$( \frac{ 1+0.84 \times (1.8-1) }{ 0.76 } + \frac{ 1 }{ 0.86 } -1)$$

Evaluate

$$\frac{508}{215}\approx 2.362790698$$

Solution Steps

Subtract 1 from 1.8 to get 0.8.

$$\frac{1+0.84\times 0.8}{0.76}+\frac{1}{0.86}-1$$

Multiply 0.84 and 0.8 to get 0.672.

$$\frac{1+0.672}{0.76}+\frac{1}{0.86}-1$$

Add 1 and 0.672 to get 1.672.

$$\frac{1.672}{0.76}+\frac{1}{0.86}-1$$

Expand \frac{1.672}{0.76} by multiplying both numerator and the denominator by 1000.

$$\frac{1672}{760}+\frac{1}{0.86}-1$$

Reduce the fraction \frac{1672}{760} to lowest terms by extracting and canceling out 152.

$$\frac{11}{5}+\frac{1}{0.86}-1$$

Expand \frac{1}{0.86} by multiplying both numerator and the denominator by 100.

$$\frac{11}{5}+\frac{100}{86}-1$$

Reduce the fraction \frac{100}{86} to lowest terms by extracting and canceling out 2.

$$\frac{11}{5}+\frac{50}{43}-1$$

Least common multiple of 5 and 43 is 215. Convert \frac{11}{5} and \frac{50}{43} to fractions with denominator 215.

$$\frac{473}{215}+\frac{250}{215}-1$$

Since \frac{473}{215} and \frac{250}{215} have the same denominator, add them by adding their numerators.

$$\frac{473+250}{215}-1$$

Add 473 and 250 to get 723.

$$\frac{723}{215}-1$$

Convert 1 to fraction \frac{215}{215}.

$$\frac{723}{215}-\frac{215}{215}$$

Since \frac{723}{215} and \frac{215}{215} have the same denominator, subtract them by subtracting their numerators.

$$\frac{723-215}{215}$$

Subtract 215 from 723 to get 508.

$$\frac{508}{215}$$

Factor

$$\frac{127 \cdot 2 ^ {2}}{5 \cdot 43} = 2\frac{78}{215} = 2.3627906976744186$$