Solve (7)100.0*(5.6+3.425)/(79.00-78.0)*34.000+324.0

$$( 7 ) \frac { 100.0 \times ( 5.6 + 3.425 ) } { ( 79.00 - 78.0 ) \times 34.000 } + 324.0$$

Evaluate

$$\frac{34667}{68}\approx 509.808823529$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$7\times \frac{50\left(3.425+5.6\right)}{17\left(79-78\right)}+324$$

Add 3.425 and 5.6 to get 9.025.

$$7\times \frac{50\times 9.025}{17\left(79-78\right)}+324$$

Multiply 50 and 9.025 to get 451.25.

$$7\times \frac{451.25}{17\left(79-78\right)}+324$$

Subtract 78 from 79 to get 1.

$$7\times \frac{451.25}{17\times 1}+324$$

Multiply 17 and 1 to get 17.

$$7\times \frac{451.25}{17}+324$$

Expand \frac{451.25}{17} by multiplying both numerator and the denominator by 100.

$$7\times \frac{45125}{1700}+324$$

Reduce the fraction \frac{45125}{1700} to lowest terms by extracting and canceling out 25.

$$7\times \frac{1805}{68}+324$$

Express 7\times \frac{1805}{68} as a single fraction.

$$\frac{7\times 1805}{68}+324$$

Multiply 7 and 1805 to get 12635.

$$\frac{12635}{68}+324$$

Convert 324 to fraction \frac{22032}{68}.

$$\frac{12635}{68}+\frac{22032}{68}$$

Since \frac{12635}{68} and \frac{22032}{68} have the same denominator, add them by adding their numerators.

$$\frac{12635+22032}{68}$$

Add 12635 and 22032 to get 34667.

$$\frac{34667}{68}$$

Factor

$$\frac{34667}{17 \cdot 2 ^ {2}} = 509\frac{55}{68} = 509.80882352941177$$