Solve 22/7*2.56*6

$$\frac { 22 } { 7 } \times 2.56 \times 6$$

Evaluate

$$\frac{8448}{175}\approx 48.274285714$$

Solution Steps

Convert decimal number 2.56 to fraction \frac{256}{100}. Reduce the fraction \frac{256}{100} to lowest terms by extracting and canceling out 4.

$$\frac{22}{7}\times \frac{64}{25}\times 6$$

Multiply \frac{22}{7} times \frac{64}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{22\times 64}{7\times 25}\times 6$$

Do the multiplications in the fraction \frac{22\times 64}{7\times 25}.

$$\frac{1408}{175}\times 6$$

Express \frac{1408}{175}\times 6 as a single fraction.

$$\frac{1408\times 6}{175}$$

Multiply 1408 and 6 to get 8448.

$$\frac{8448}{175}$$

Factor

$$\frac{3 \cdot 11 \cdot 2 ^ {8}}{7 \cdot 5 ^ {2}} = 48\frac{48}{175} = 48.27428571428572$$