Solve 10/19*0.001*7.9*10*10*10

$$\frac{ 10 }{ 19 } \times 0.001 \times 7.9 \times 10 \times 10 \times 10$$

Evaluate

$$\frac{79}{19}\approx 4.157894737$$

Solution Steps

Convert decimal number 0.001 to fraction \frac{1}{1000}.

$$\frac{10}{19}\times \frac{1}{1000}\times 7.9\times 10\times 10\times 10$$

Multiply \frac{10}{19} times \frac{1}{1000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 1}{19\times 1000}\times 7.9\times 10\times 10\times 10$$

Do the multiplications in the fraction \frac{10\times 1}{19\times 1000}.

$$\frac{10}{19000}\times 7.9\times 10\times 10\times 10$$

Reduce the fraction \frac{10}{19000} to lowest terms by extracting and canceling out 10.

$$\frac{1}{1900}\times 7.9\times 10\times 10\times 10$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$\frac{1}{1900}\times \frac{79}{10}\times 10\times 10\times 10$$

Multiply \frac{1}{1900} times \frac{79}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 79}{1900\times 10}\times 10\times 10\times 10$$

Do the multiplications in the fraction \frac{1\times 79}{1900\times 10}.

$$\frac{79}{19000}\times 10\times 10\times 10$$

Express \frac{79}{19000}\times 10 as a single fraction.

$$\frac{79\times 10}{19000}\times 10\times 10$$

Multiply 79 and 10 to get 790.

$$\frac{790}{19000}\times 10\times 10$$

Reduce the fraction \frac{790}{19000} to lowest terms by extracting and canceling out 10.

$$\frac{79}{1900}\times 10\times 10$$

Express \frac{79}{1900}\times 10 as a single fraction.

$$\frac{79\times 10}{1900}\times 10$$

Multiply 79 and 10 to get 790.

$$\frac{790}{1900}\times 10$$

Reduce the fraction \frac{790}{1900} to lowest terms by extracting and canceling out 10.

$$\frac{79}{190}\times 10$$

Express \frac{79}{190}\times 10 as a single fraction.

$$\frac{79\times 10}{190}$$

Multiply 79 and 10 to get 790.

$$\frac{790}{190}$$

Reduce the fraction \frac{790}{190} to lowest terms by extracting and canceling out 10.

$$\frac{79}{19}$$

Factor

$$\frac{79}{19} = 4\frac{3}{19} = 4.157894736842105$$