Solve 51/4*31/2*3=

$$5 \frac { 1 } { 4 } \times 3 \frac { 1 } { 2 } \times 3 =$$

Evaluate

$$\frac{441}{8}=55.125$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}\times \frac{3\times 2+1}{2}\times 3$$

Add 20 and 1 to get 21.

$$\frac{21}{4}\times \frac{3\times 2+1}{2}\times 3$$

Multiply 3 and 2 to get 6.

$$\frac{21}{4}\times \frac{6+1}{2}\times 3$$

Add 6 and 1 to get 7.

$$\frac{21}{4}\times \frac{7}{2}\times 3$$

Multiply \frac{21}{4} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 7}{4\times 2}\times 3$$

Do the multiplications in the fraction \frac{21\times 7}{4\times 2}.

$$\frac{147}{8}\times 3$$

Express \frac{147}{8}\times 3 as a single fraction.

$$\frac{147\times 3}{8}$$

Multiply 147 and 3 to get 441.

$$\frac{441}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{2 ^ {3}} = 55\frac{1}{8} = 55.125$$