Solve 142*13%/3/25+80/184*1656/4=?

$$142 \cdot \frac { 13 \% / 3 } { 25 } + \frac { 80 } { 184 } \times \frac { 1656 } { 4 } = ?$$

Evaluate

$$\frac{675923}{3750}\approx 180.246133333$$

Solution Steps

Express \frac{\frac{\frac{13}{100}}{3}}{25} as a single fraction.

$$142\times \frac{\frac{13}{100}}{3\times 25}+\frac{80}{184}\times \frac{1656}{4}$$

Multiply 3 and 25 to get 75.

$$142\times \frac{\frac{13}{100}}{75}+\frac{80}{184}\times \frac{1656}{4}$$

Express \frac{\frac{13}{100}}{75} as a single fraction.

$$142\times \frac{13}{100\times 75}+\frac{80}{184}\times \frac{1656}{4}$$

Multiply 100 and 75 to get 7500.

$$142\times \frac{13}{7500}+\frac{80}{184}\times \frac{1656}{4}$$

Express 142\times \frac{13}{7500} as a single fraction.

$$\frac{142\times 13}{7500}+\frac{80}{184}\times \frac{1656}{4}$$

Multiply 142 and 13 to get 1846.

$$\frac{1846}{7500}+\frac{80}{184}\times \frac{1656}{4}$$

Reduce the fraction \frac{1846}{7500} to lowest terms by extracting and canceling out 2.

$$\frac{923}{3750}+\frac{80}{184}\times \frac{1656}{4}$$

Reduce the fraction \frac{80}{184} to lowest terms by extracting and canceling out 8.

$$\frac{923}{3750}+\frac{10}{23}\times \frac{1656}{4}$$

Divide 1656 by 4 to get 414.

$$\frac{923}{3750}+\frac{10}{23}\times 414$$

Express \frac{10}{23}\times 414 as a single fraction.

$$\frac{923}{3750}+\frac{10\times 414}{23}$$

Multiply 10 and 414 to get 4140.

$$\frac{923}{3750}+\frac{4140}{23}$$

Divide 4140 by 23 to get 180.

$$\frac{923}{3750}+180$$

Convert 180 to fraction \frac{675000}{3750}.

$$\frac{923}{3750}+\frac{675000}{3750}$$

Since \frac{923}{3750} and \frac{675000}{3750} have the same denominator, add them by adding their numerators.

$$\frac{923+675000}{3750}$$

Add 923 and 675000 to get 675923.

$$\frac{675923}{3750}$$

Factor

$$\frac{675923}{2 \cdot 3 \cdot 5 ^ {4}} = 180\frac{923}{3750} = 180.24613333333335$$