Solve 73+1978/3430*(84-71)

$$73 + \frac { 1978 } { 3430 } \times ( 84 - 71 )$$

Evaluate

$$\frac{138052}{1715}\approx 80.496793003$$

Solution Steps

Reduce the fraction \frac{1978}{3430} to lowest terms by extracting and canceling out 2.

$$73+\frac{989}{1715}\left(84-71\right)$$

Subtract 71 from 84 to get 13.

$$73+\frac{989}{1715}\times 13$$

Express \frac{989}{1715}\times 13 as a single fraction.

$$73+\frac{989\times 13}{1715}$$

Multiply 989 and 13 to get 12857.

$$73+\frac{12857}{1715}$$

Convert 73 to fraction \frac{125195}{1715}.

$$\frac{125195}{1715}+\frac{12857}{1715}$$

Since \frac{125195}{1715} and \frac{12857}{1715} have the same denominator, add them by adding their numerators.

$$\frac{125195+12857}{1715}$$

Add 125195 and 12857 to get 138052.

$$\frac{138052}{1715}$$

Factor

$$\frac{2 ^ {2} \cdot 34513}{5 \cdot 7 ^ {3}} = 80\frac{852}{1715} = 80.49679300291545$$