Solve 100/45*2.3

$$\frac { 100 } { 45 } \times 2.3$$

Evaluate

$$\frac{46}{9}\approx 5.111111111$$

Solution Steps

Reduce the fraction \frac{100}{45} to lowest terms by extracting and canceling out 5.

$$\frac{20}{9}\times 2.3$$

Convert decimal number 2.3 to fraction \frac{23}{10}.

$$\frac{20}{9}\times \frac{23}{10}$$

Multiply \frac{20}{9} times \frac{23}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 23}{9\times 10}$$

Do the multiplications in the fraction \frac{20\times 23}{9\times 10}.

$$\frac{460}{90}$$

Reduce the fraction \frac{460}{90} to lowest terms by extracting and canceling out 10.

$$\frac{46}{9}$$

Factor

$$\frac{2 \cdot 23}{3 ^ {2}} = 5\frac{1}{9} = 5.111111111111111$$