Solve 21/3*3.5*11/8

$$2 \frac{ 1 }{ 3 } \times 3.5 \times 1 \frac{ 1 }{ 8 }$$

Evaluate

$$9.1875$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}\times 3.5\times \frac{1\times 8+1}{8}$$

Add 6 and 1 to get 7.

$$\frac{7}{3}\times 3.5\times \frac{1\times 8+1}{8}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}\times \frac{7}{2}\times \frac{1\times 8+1}{8}$$

Multiply \frac{7}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 7}{3\times 2}\times \frac{1\times 8+1}{8}$$

Do the multiplications in the fraction \frac{7\times 7}{3\times 2}.

$$\frac{49}{6}\times \frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{49}{6}\times \frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{49}{6}\times \frac{9}{8}$$

Multiply \frac{49}{6} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 9}{6\times 8}$$

Do the multiplications in the fraction \frac{49\times 9}{6\times 8}.

$$\frac{441}{48}$$

Reduce the fraction \frac{441}{48} to lowest terms by extracting and canceling out 3.

$$\frac{147}{16}$$

Factor

$$\frac{3 \cdot 7 ^ {2}}{2 ^ {4}} = 9\frac{3}{16} = 9.1875$$