Solve 6div6.4*3.4div6.4

$$6 \div 6.4 \times 3.4 \div 6.4$$

Evaluate

$$0.498046875$$

Solution Steps

Expand \frac{6}{6.4} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{60}{64}\times 3.4}{6.4}$$

Reduce the fraction \frac{60}{64} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{15}{16}\times 3.4}{6.4}$$

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{15}{16}\times \frac{17}{5}}{6.4}$$

Multiply \frac{15}{16} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{15\times 17}{16\times 5}}{6.4}$$

Do the multiplications in the fraction \frac{15\times 17}{16\times 5}.

$$\frac{\frac{255}{80}}{6.4}$$

Reduce the fraction \frac{255}{80} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{51}{16}}{6.4}$$

Express \frac{\frac{51}{16}}{6.4} as a single fraction.

$$\frac{51}{16\times 6.4}$$

Multiply 16 and 6.4 to get 102.4.

$$\frac{51}{102.4}$$

Expand \frac{51}{102.4} by multiplying both numerator and the denominator by 10.

$$\frac{510}{1024}$$

Reduce the fraction \frac{510}{1024} to lowest terms by extracting and canceling out 2.

$$\frac{255}{512}$$

Factor

$$\frac{3 \cdot 5 \cdot 17}{2 ^ {9}} = 0.498046875$$