Solve 844/19*11/8+1055/19

$$84 \frac { 4 } { 19 } \times \frac { 11 } { 8 } + 105 \frac { 5 } { 19 }$$

Evaluate

$$\frac{4200}{19}\approx 221.052631579$$

Solution Steps

Multiply 84 and 19 to get 1596.

$$\frac{1596+4}{19}\times \frac{11}{8}+\frac{105\times 19+5}{19}$$

Add 1596 and 4 to get 1600.

$$\frac{1600}{19}\times \frac{11}{8}+\frac{105\times 19+5}{19}$$

Multiply \frac{1600}{19} times \frac{11}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1600\times 11}{19\times 8}+\frac{105\times 19+5}{19}$$

Do the multiplications in the fraction \frac{1600\times 11}{19\times 8}.

$$\frac{17600}{152}+\frac{105\times 19+5}{19}$$

Reduce the fraction \frac{17600}{152} to lowest terms by extracting and canceling out 8.

$$\frac{2200}{19}+\frac{105\times 19+5}{19}$$

Multiply 105 and 19 to get 1995.

$$\frac{2200}{19}+\frac{1995+5}{19}$$

Add 1995 and 5 to get 2000.

$$\frac{2200}{19}+\frac{2000}{19}$$

Since \frac{2200}{19} and \frac{2000}{19} have the same denominator, add them by adding their numerators.

$$\frac{2200+2000}{19}$$

Add 2200 and 2000 to get 4200.

$$\frac{4200}{19}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5 ^ {2} \cdot 7}{19} = 221\frac{1}{19} = 221.05263157894737$$