Solve 0,38*0,17*23/15*2,7/5,1*3frac{4{5}*0,064}=

$$\frac { 0,38 \cdot 0,17 \cdot 2 \frac { 3 } { 15 } \cdot 2,7 } { 5,1 \cdot 3 \frac { 4 } { 5 } \cdot 0,064 } =$$

Evaluate

$$0,309375$$

Solution Steps

Multiply 0,38 and 0,17 to get 0,0646.

$$\frac{0,0646\times \frac{2\times 15+3}{15}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Multiply 2 and 15 to get 30.

$$\frac{0,0646\times \frac{30+3}{15}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Add 30 and 3 to get 33.

$$\frac{0,0646\times \frac{33}{15}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Reduce the fraction \frac{33}{15} to lowest terms by extracting and canceling out 3.

$$\frac{0,0646\times \frac{11}{5}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Convert decimal number 0,0646 to fraction \frac{646}{10000}. Reduce the fraction \frac{646}{10000} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{323}{5000}\times \frac{11}{5}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Multiply \frac{323}{5000} times \frac{11}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{323\times 11}{5000\times 5}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Do the multiplications in the fraction \frac{323\times 11}{5000\times 5}.

$$\frac{\frac{3553}{25000}\times 2,7}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Convert decimal number 2,7 to fraction \frac{27}{10}.

$$\frac{\frac{3553}{25000}\times \frac{27}{10}}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Multiply \frac{3553}{25000} times \frac{27}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3553\times 27}{25000\times 10}}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Do the multiplications in the fraction \frac{3553\times 27}{25000\times 10}.

$$\frac{\frac{95931}{250000}}{5,1\times \frac{3\times 5+4}{5}\times 0,064}$$

Multiply 3 and 5 to get 15.

$$\frac{\frac{95931}{250000}}{5,1\times \frac{15+4}{5}\times 0,064}$$

Add 15 and 4 to get 19.

$$\frac{\frac{95931}{250000}}{5,1\times \frac{19}{5}\times 0,064}$$

Convert decimal number 5,1 to fraction \frac{51}{10}.

$$\frac{\frac{95931}{250000}}{\frac{51}{10}\times \frac{19}{5}\times 0,064}$$

Multiply \frac{51}{10} times \frac{19}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{95931}{250000}}{\frac{51\times 19}{10\times 5}\times 0,064}$$

Do the multiplications in the fraction \frac{51\times 19}{10\times 5}.

$$\frac{\frac{95931}{250000}}{\frac{969}{50}\times 0,064}$$

Convert decimal number 0,064 to fraction \frac{64}{1000}. Reduce the fraction \frac{64}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{95931}{250000}}{\frac{969}{50}\times \frac{8}{125}}$$

Multiply \frac{969}{50} times \frac{8}{125} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{95931}{250000}}{\frac{969\times 8}{50\times 125}}$$

Do the multiplications in the fraction \frac{969\times 8}{50\times 125}.

$$\frac{\frac{95931}{250000}}{\frac{7752}{6250}}$$

Reduce the fraction \frac{7752}{6250} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{95931}{250000}}{\frac{3876}{3125}}$$

Divide \frac{95931}{250000} by \frac{3876}{3125} by multiplying \frac{95931}{250000} by the reciprocal of \frac{3876}{3125}.

$$\frac{95931}{250000}\times \frac{3125}{3876}$$

Multiply \frac{95931}{250000} times \frac{3125}{3876} by multiplying numerator times numerator and denominator times denominator.

$$\frac{95931\times 3125}{250000\times 3876}$$

Do the multiplications in the fraction \frac{95931\times 3125}{250000\times 3876}.

$$\frac{299784375}{969000000}$$

Reduce the fraction \frac{299784375}{969000000} to lowest terms by extracting and canceling out 3028125.

$$\frac{99}{320}$$

Factor

$$\frac{11 \cdot 3 ^ {2}}{5 \cdot 2 ^ {6}} = 0.309375$$