Solve 103/10*64/3*4/11

$$10 \frac { 3 } { 10 } \times 6 \frac { 4 } { 3 } \times \frac { 4 } { 11 }$$

Evaluate

$$\frac{412}{15}\approx 27.466666667$$

Solution Steps

Multiply 10 and 10 to get 100.

$$\frac{100+3}{10}\times \frac{6\times 3+4}{3}\times \frac{4}{11}$$

Add 100 and 3 to get 103.

$$\frac{103}{10}\times \frac{6\times 3+4}{3}\times \frac{4}{11}$$

Multiply 6 and 3 to get 18.

$$\frac{103}{10}\times \frac{18+4}{3}\times \frac{4}{11}$$

Add 18 and 4 to get 22.

$$\frac{103}{10}\times \frac{22}{3}\times \frac{4}{11}$$

Multiply \frac{103}{10} times \frac{22}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{103\times 22}{10\times 3}\times \frac{4}{11}$$

Do the multiplications in the fraction \frac{103\times 22}{10\times 3}.

$$\frac{2266}{30}\times \frac{4}{11}$$

Reduce the fraction \frac{2266}{30} to lowest terms by extracting and canceling out 2.

$$\frac{1133}{15}\times \frac{4}{11}$$

Multiply \frac{1133}{15} times \frac{4}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1133\times 4}{15\times 11}$$

Do the multiplications in the fraction \frac{1133\times 4}{15\times 11}.

$$\frac{4532}{165}$$

Reduce the fraction \frac{4532}{165} to lowest terms by extracting and canceling out 11.

$$\frac{412}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 103}{3 \cdot 5} = 27\frac{7}{15} = 27.466666666666665$$