Solve [(33.16178-31.42886)/31.42886][(84-3)/1]

$$[ ( 33.16178 - 31.42886 ) / 31.42886 ] [ ( 84 - 3 ) / 1 ]$$

Evaluate

$$\frac{7018326}{1571443}\approx 4.466166447$$

Solution Steps

Subtract 31.42886 from 33.16178 to get 1.73292.

$$\frac{1.73292}{31.42886}\times \frac{84-3}{1}$$

Expand \frac{1.73292}{31.42886} by multiplying both numerator and the denominator by 100000.

$$\frac{173292}{3142886}\times \frac{84-3}{1}$$

Reduce the fraction \frac{173292}{3142886} to lowest terms by extracting and canceling out 2.

$$\frac{86646}{1571443}\times \frac{84-3}{1}$$

Subtract 3 from 84 to get 81.

$$\frac{86646}{1571443}\times \frac{81}{1}$$

Anything divided by one gives itself.

$$\frac{86646}{1571443}\times 81$$

Express \frac{86646}{1571443}\times 81 as a single fraction.

$$\frac{86646\times 81}{1571443}$$

Multiply 86646 and 81 to get 7018326.

$$\frac{7018326}{1571443}$$

Factor

$$\frac{2 \cdot 7 \cdot 2063 \cdot 3 ^ {5}}{71 \cdot 22133} = 4\frac{732554}{1571443} = 4.4661664470171685$$