Solve 111/4*67/9

$$11 \frac { 1 } { 4 } \times 6 \frac { 7 } { 9 }$$

Evaluate

$$\frac{305}{4}=76.25$$

Solution Steps

Multiply 11 and 4 to get 44.

$$\frac{44+1}{4}\times \frac{6\times 9+7}{9}$$

Add 44 and 1 to get 45.

$$\frac{45}{4}\times \frac{6\times 9+7}{9}$$

Multiply 6 and 9 to get 54.

$$\frac{45}{4}\times \frac{54+7}{9}$$

Add 54 and 7 to get 61.

$$\frac{45}{4}\times \frac{61}{9}$$

Multiply \frac{45}{4} times \frac{61}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{45\times 61}{4\times 9}$$

Do the multiplications in the fraction \frac{45\times 61}{4\times 9}.

$$\frac{2745}{36}$$

Reduce the fraction \frac{2745}{36} to lowest terms by extracting and canceling out 9.

$$\frac{305}{4}$$

Factor

$$\frac{5 \cdot 61}{2 ^ {2}} = 76\frac{1}{4} = 76.25$$