Solve 19.5[3/4*100-42/77]*5

$$19.5 [ \frac { \frac { 3 } { 4 } \times 100 - 42 } { 77 } ] \times 5$$

Evaluate

$$\frac{585}{14}\approx 41.785714286$$

Solution Steps

Express \frac{3}{4}\times 100 as a single fraction.

$$19.5\times \frac{\frac{3\times 100}{4}-42}{77}\times 5$$

Multiply 3 and 100 to get 300.

$$19.5\times \frac{\frac{300}{4}-42}{77}\times 5$$

Divide 300 by 4 to get 75.

$$19.5\times \frac{75-42}{77}\times 5$$

Subtract 42 from 75 to get 33.

$$19.5\times \frac{33}{77}\times 5$$

Reduce the fraction \frac{33}{77} to lowest terms by extracting and canceling out 11.

$$19.5\times \frac{3}{7}\times 5$$

Convert decimal number 19.5 to fraction \frac{195}{10}. Reduce the fraction \frac{195}{10} to lowest terms by extracting and canceling out 5.

$$\frac{39}{2}\times \frac{3}{7}\times 5$$

Multiply \frac{39}{2} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 3}{2\times 7}\times 5$$

Do the multiplications in the fraction \frac{39\times 3}{2\times 7}.

$$\frac{117}{14}\times 5$$

Express \frac{117}{14}\times 5 as a single fraction.

$$\frac{117\times 5}{14}$$

Multiply 117 and 5 to get 585.

$$\frac{585}{14}$$

Factor

$$\frac{5 \cdot 13 \cdot 3 ^ {2}}{2 \cdot 7} = 41\frac{11}{14} = 41.785714285714285$$