Solve 11/9*46/8=

$$1 \frac{ 1 }{ 9 } \times 4 \frac{ 6 }{ 8 } =$$

Evaluate

$$\frac{95}{18}\approx 5.277777778$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9}\times \frac{4\times 8+6}{8}$$

Add 9 and 1 to get 10.

$$\frac{10}{9}\times \frac{4\times 8+6}{8}$$

Multiply 4 and 8 to get 32.

$$\frac{10}{9}\times \frac{32+6}{8}$$

Add 32 and 6 to get 38.

$$\frac{10}{9}\times \frac{38}{8}$$

Reduce the fraction \frac{38}{8} to lowest terms by extracting and canceling out 2.

$$\frac{10}{9}\times \frac{19}{4}$$

Multiply \frac{10}{9} times \frac{19}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 19}{9\times 4}$$

Do the multiplications in the fraction \frac{10\times 19}{9\times 4}.

$$\frac{190}{36}$$

Reduce the fraction \frac{190}{36} to lowest terms by extracting and canceling out 2.

$$\frac{95}{18}$$

Factor

$$\frac{5 \cdot 19}{2 \cdot 3 ^ {2}} = 5\frac{5}{18} = 5.277777777777778$$