Solve 77/1163/16

$$7 \frac{ 7 }{ 11 } 6 \frac{ 3 }{ 16 }$$

Evaluate

$$\frac{189}{4}=47.25$$

Solution Steps

Multiply 7 and 11 to get 77.

$$\frac{77+7}{11}\times \frac{6\times 16+3}{16}$$

Add 77 and 7 to get 84.

$$\frac{84}{11}\times \frac{6\times 16+3}{16}$$

Multiply 6 and 16 to get 96.

$$\frac{84}{11}\times \frac{96+3}{16}$$

Add 96 and 3 to get 99.

$$\frac{84}{11}\times \frac{99}{16}$$

Multiply \frac{84}{11} times \frac{99}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{84\times 99}{11\times 16}$$

Do the multiplications in the fraction \frac{84\times 99}{11\times 16}.

$$\frac{8316}{176}$$

Reduce the fraction \frac{8316}{176} to lowest terms by extracting and canceling out 44.

$$\frac{189}{4}$$

Factor

$$\frac{3 ^ {3} \cdot 7}{2 ^ {2}} = 47\frac{1}{4} = 47.25$$