Solve 7/3*15*2,1/2*7=

$$\frac { 7 } { 3 } \cdot \frac { 15 \cdot 2,1 } { 2 } \cdot 7 =$$

Evaluate

$$257,25$$

Solution Steps

Multiply 15 and 2,1 to get 31,5.

$$\frac{7}{3}\times \frac{31,5}{2}\times 7$$

Expand \frac{31,5}{2} by multiplying both numerator and the denominator by 10.

$$\frac{7}{3}\times \frac{315}{20}\times 7$$

Reduce the fraction \frac{315}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}\times \frac{63}{4}\times 7$$

Multiply \frac{7}{3} times \frac{63}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 63}{3\times 4}\times 7$$

Do the multiplications in the fraction \frac{7\times 63}{3\times 4}.

$$\frac{441}{12}\times 7$$

Reduce the fraction \frac{441}{12} to lowest terms by extracting and canceling out 3.

$$\frac{147}{4}\times 7$$

Express \frac{147}{4}\times 7 as a single fraction.

$$\frac{147\times 7}{4}$$

Multiply 147 and 7 to get 1029.

$$\frac{1029}{4}$$

Factor

$$\frac{3 \cdot 7 ^ {3}}{2 ^ {2}} = 257\frac{1}{4} = 257.25$$