Solve 48div6.222*69.2=

$$48 \div 6.222 \times 69.2=$$

Evaluate

$$\frac{553600}{1037}\approx 533.847637416$$

Solution Steps

Expand \frac{48}{6.222} by multiplying both numerator and the denominator by 1000.

$$\frac{48000}{6222}\times 69.2$$

Reduce the fraction \frac{48000}{6222} to lowest terms by extracting and canceling out 6.

$$\frac{8000}{1037}\times 69.2$$

Convert decimal number 69.2 to fraction \frac{692}{10}. Reduce the fraction \frac{692}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8000}{1037}\times \frac{346}{5}$$

Multiply \frac{8000}{1037} times \frac{346}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8000\times 346}{1037\times 5}$$

Do the multiplications in the fraction \frac{8000\times 346}{1037\times 5}.

$$\frac{2768000}{5185}$$

Reduce the fraction \frac{2768000}{5185} to lowest terms by extracting and canceling out 5.

$$\frac{553600}{1037}$$

Factor

$$\frac{173 \cdot 2 ^ {7} \cdot 5 ^ {2}}{17 \cdot 61} = 533\frac{879}{1037} = 533.847637415622$$