Solve 27/40*28/21

$$\frac { 27 } { 40 } \times 2 \frac { 8 } { 21 }$$

Evaluate

$$\frac{45}{28}\approx 1.607142857$$

Solution Steps

Multiply 2 and 21 to get 42.

$$\frac{27}{40}\times \frac{42+8}{21}$$

Add 42 and 8 to get 50.

$$\frac{27}{40}\times \frac{50}{21}$$

Multiply \frac{27}{40} times \frac{50}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 50}{40\times 21}$$

Do the multiplications in the fraction \frac{27\times 50}{40\times 21}.

$$\frac{1350}{840}$$

Reduce the fraction \frac{1350}{840} to lowest terms by extracting and canceling out 30.

$$\frac{45}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2} \cdot 7} = 1\frac{17}{28} = 1.6071428571428572$$