Solve 3,2*(73/4+41/1)=

$$3,2 \cdot ( 7 \frac { 3 } { 4 } + 4 \frac { 1 } { 1 } ) =$$

Evaluate

$$40,8$$

Solution Steps

Multiply 7 and 4 to get 28.

$$3,2\left(\frac{28+3}{4}+\frac{4\times 1+1}{1}\right)$$

Add 28 and 3 to get 31.

$$3,2\left(\frac{31}{4}+\frac{4\times 1+1}{1}\right)$$

Multiply 4 and 1 to get 4.

$$3,2\left(\frac{31}{4}+\frac{4+1}{1}\right)$$

Add 4 and 1 to get 5.

$$3,2\left(\frac{31}{4}+\frac{5}{1}\right)$$

Anything divided by one gives itself.

$$3,2\left(\frac{31}{4}+5\right)$$

Convert 5 to fraction \frac{20}{4}.

$$3,2\left(\frac{31}{4}+\frac{20}{4}\right)$$

Since \frac{31}{4} and \frac{20}{4} have the same denominator, add them by adding their numerators.

$$3,2\times \frac{31+20}{4}$$

Add 31 and 20 to get 51.

$$3,2\times \frac{51}{4}$$

Convert decimal number 3,2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}\times \frac{51}{4}$$

Multiply \frac{16}{5} times \frac{51}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 51}{5\times 4}$$

Do the multiplications in the fraction \frac{16\times 51}{5\times 4}.

$$\frac{816}{20}$$

Reduce the fraction \frac{816}{20} to lowest terms by extracting and canceling out 4.

$$\frac{204}{5}$$

Factor

$$\frac{3 \cdot 17 \cdot 2 ^ {2}}{5} = 40\frac{4}{5} = 40.8$$