Solve 1/4*3,4*24*24*25

$$\frac { 1 } { 4 } \times 3,4 \times 24 \times 24 \times 25$$

Evaluate

$$12240$$

Solution Steps

Convert decimal number 3,4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}\times \frac{17}{5}\times 24\times 24\times 25$$

Multiply \frac{1}{4} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 17}{4\times 5}\times 24\times 24\times 25$$

Do the multiplications in the fraction \frac{1\times 17}{4\times 5}.

$$\frac{17}{20}\times 24\times 24\times 25$$

Express \frac{17}{20}\times 24 as a single fraction.

$$\frac{17\times 24}{20}\times 24\times 25$$

Multiply 17 and 24 to get 408.

$$\frac{408}{20}\times 24\times 25$$

Reduce the fraction \frac{408}{20} to lowest terms by extracting and canceling out 4.

$$\frac{102}{5}\times 24\times 25$$

Express \frac{102}{5}\times 24 as a single fraction.

$$\frac{102\times 24}{5}\times 25$$

Multiply 102 and 24 to get 2448.

$$\frac{2448}{5}\times 25$$

Express \frac{2448}{5}\times 25 as a single fraction.

$$\frac{2448\times 25}{5}$$

Multiply 2448 and 25 to get 61200.

$$\frac{61200}{5}$$

Divide 61200 by 5 to get 12240.

$$12240$$

Factor

$$5\times 17\times 2^{4}\times 3^{2}$$