Solve 46div2.75*5.66

$$46 \div 2.75 \times 5.66$$

Evaluate

$$\frac{26036}{275}\approx 94.676363636$$

Solution Steps

Expand \frac{46}{2.75} by multiplying both numerator and the denominator by 100.

$$\frac{4600}{275}\times 5.66$$

Reduce the fraction \frac{4600}{275} to lowest terms by extracting and canceling out 25.

$$\frac{184}{11}\times 5.66$$

Convert decimal number 5.66 to fraction \frac{566}{100}. Reduce the fraction \frac{566}{100} to lowest terms by extracting and canceling out 2.

$$\frac{184}{11}\times \frac{283}{50}$$

Multiply \frac{184}{11} times \frac{283}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{184\times 283}{11\times 50}$$

Do the multiplications in the fraction \frac{184\times 283}{11\times 50}.

$$\frac{52072}{550}$$

Reduce the fraction \frac{52072}{550} to lowest terms by extracting and canceling out 2.

$$\frac{26036}{275}$$

Factor

$$\frac{23 \cdot 283 \cdot 2 ^ {2}}{11 \cdot 5 ^ {2}} = 94\frac{186}{275} = 94.67636363636363$$