Solve 77/11*69/16

$$7 \frac { 7 } { 11 } \times 6 \frac { 9 } { 16 }$$

Evaluate

$$\frac{2205}{44}\approx 50.113636364$$

Solution Steps

Multiply 7 and 11 to get 77.

$$\frac{77+7}{11}\times \frac{6\times 16+9}{16}$$

Add 77 and 7 to get 84.

$$\frac{84}{11}\times \frac{6\times 16+9}{16}$$

Multiply 6 and 16 to get 96.

$$\frac{84}{11}\times \frac{96+9}{16}$$

Add 96 and 9 to get 105.

$$\frac{84}{11}\times \frac{105}{16}$$

Multiply \frac{84}{11} times \frac{105}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{84\times 105}{11\times 16}$$

Do the multiplications in the fraction \frac{84\times 105}{11\times 16}.

$$\frac{8820}{176}$$

Reduce the fraction \frac{8820}{176} to lowest terms by extracting and canceling out 4.

$$\frac{2205}{44}$$

Factor

$$\frac{3 ^ {2} \cdot 5 \cdot 7 ^ {2}}{2 ^ {2} \cdot 11} = 50\frac{5}{44} = 50.11363636363637$$