Solve 5/42*119/21

$$\frac{ 5 }{ 42 } \times 1 \frac{ 19 }{ 21 }$$

Evaluate

$$\frac{100}{441}\approx 0.22675737$$

Solution Steps

Multiply 1 and 21 to get 21.

$$\frac{5}{42}\times \frac{21+19}{21}$$

Add 21 and 19 to get 40.

$$\frac{5}{42}\times \frac{40}{21}$$

Multiply \frac{5}{42} times \frac{40}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 40}{42\times 21}$$

Do the multiplications in the fraction \frac{5\times 40}{42\times 21}.

$$\frac{200}{882}$$

Reduce the fraction \frac{200}{882} to lowest terms by extracting and canceling out 2.

$$\frac{100}{441}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2}}{3 ^ {2} \cdot 7 ^ {2}} = 0.22675736961451248$$