Solve 71/2*11/6quad71/2

$$7 \frac { 1 } { 2 } \times 1 \frac { 1 } { 6 } \quad 7 \frac { 1 } { 2 }$$

Evaluate

$$\frac{525}{8}=65.625$$

Solution Steps

Multiply \frac{7\times 2+1}{2} and \frac{7\times 2+1}{2} to get \left(\frac{7\times 2+1}{2}\right)^{2}.

$$\left(\frac{7\times 2+1}{2}\right)^{2}\times \frac{1\times 6+1}{6}$$

Multiply 7 and 2 to get 14.

$$\left(\frac{14+1}{2}\right)^{2}\times \frac{1\times 6+1}{6}$$

Add 14 and 1 to get 15.

$$\left(\frac{15}{2}\right)^{2}\times \frac{1\times 6+1}{6}$$

Calculate \frac{15}{2} to the power of 2 and get \frac{225}{4}.

$$\frac{225}{4}\times \frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{225}{4}\times \frac{6+1}{6}$$

Add 6 and 1 to get 7.

$$\frac{225}{4}\times \frac{7}{6}$$

Multiply \frac{225}{4} times \frac{7}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{225\times 7}{4\times 6}$$

Do the multiplications in the fraction \frac{225\times 7}{4\times 6}.

$$\frac{1575}{24}$$

Reduce the fraction \frac{1575}{24} to lowest terms by extracting and canceling out 3.

$$\frac{525}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 7}{2 ^ {3}} = 65\frac{5}{8} = 65.625$$