Solve 1.3*1.3/8*9.8*1.3

$$\frac { 1.3 \times 1.3 } { 8 } \times 9.8 \times 1.3$$

Evaluate

$$2.691325$$

Solution Steps

Multiply 1.3 and 1.3 to get 1.69.

$$\frac{1.69}{8}\times 9.8\times 1.3$$

Expand \frac{1.69}{8} by multiplying both numerator and the denominator by 100.

$$\frac{169}{800}\times 9.8\times 1.3$$

Convert decimal number 9.8 to fraction \frac{98}{10}. Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$\frac{169}{800}\times \frac{49}{5}\times 1.3$$

Multiply \frac{169}{800} times \frac{49}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{169\times 49}{800\times 5}\times 1.3$$

Do the multiplications in the fraction \frac{169\times 49}{800\times 5}.

$$\frac{8281}{4000}\times 1.3$$

Convert decimal number 1.3 to fraction \frac{13}{10}.

$$\frac{8281}{4000}\times \frac{13}{10}$$

Multiply \frac{8281}{4000} times \frac{13}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8281\times 13}{4000\times 10}$$

Do the multiplications in the fraction \frac{8281\times 13}{4000\times 10}.

$$\frac{107653}{40000}$$

Factor

$$\frac{7 ^ {2} \cdot 13 ^ {3}}{2 ^ {6} \cdot 5 ^ {4}} = 2\frac{27653}{40000} = 2.691325$$