Solve 1/2*(3,8cm+11,9cm)*4,2cm

$$\frac { 1 } { 2 } \cdot ( 3,8 c m + 11,9 c m ) \cdot 4,2 c m$$

Evaluate

$$\frac{3297\left(cm\right)^{2}}{100}$$

Solution Steps

Combine 3,8cm and 11,9cm to get 15,7cm.

$$\frac{1}{2}\times 15,7cm\times 4,2cm$$

Convert decimal number 15,7 to fraction \frac{157}{10}.

$$\frac{1}{2}\times \frac{157}{10}cm\times 4,2cm$$

Multiply \frac{1}{2} times \frac{157}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{2\times 10}cm\times 4,2cm$$

Do the multiplications in the fraction \frac{1\times 157}{2\times 10}.

$$\frac{157}{20}cm\times 4,2cm$$

Convert decimal number 4,2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{157}{20}cm\times \frac{21}{5}cm$$

Multiply \frac{157}{20} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 21}{20\times 5}cmcm$$

Do the multiplications in the fraction \frac{157\times 21}{20\times 5}.

$$\frac{3297}{100}cmcm$$

Multiply c and c to get c^{2}.

$$\frac{3297}{100}c^{2}mm$$

Multiply m and m to get m^{2}.

$$\frac{3297}{100}c^{2}m^{2}$$

Expand

$$\frac{3297\left(cm\right)^{2}}{100}$$

Solution Steps

Combine 3,8cm and 11,9cm to get 15,7cm.

$$\frac{1}{2}\times 15,7cm\times 4,2cm$$

Convert decimal number 15,7 to fraction \frac{157}{10}.

$$\frac{1}{2}\times \frac{157}{10}cm\times 4,2cm$$

Multiply \frac{1}{2} times \frac{157}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{2\times 10}cm\times 4,2cm$$

Do the multiplications in the fraction \frac{1\times 157}{2\times 10}.

$$\frac{157}{20}cm\times 4,2cm$$

Convert decimal number 4,2 to fraction \frac{42}{10}. Reduce the fraction \frac{42}{10} to lowest terms by extracting and canceling out 2.

$$\frac{157}{20}cm\times \frac{21}{5}cm$$

Multiply \frac{157}{20} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 21}{20\times 5}cmcm$$

Do the multiplications in the fraction \frac{157\times 21}{20\times 5}.

$$\frac{3297}{100}cmcm$$

Multiply c and c to get c^{2}.

$$\frac{3297}{100}c^{2}mm$$

Multiply m and m to get m^{2}.

$$\frac{3297}{100}c^{2}m^{2}$$