Solve (51/3-2)5/21

$$( 5 \frac { 1 } { 3 } - 2 ) \frac { 5 } { 21 }$$

Evaluate

$$\frac{50}{63}\approx 0.793650794$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\left(\frac{15+1}{3}-2\right)\times \frac{5}{21}$$

Add 15 and 1 to get 16.

$$\left(\frac{16}{3}-2\right)\times \frac{5}{21}$$

Convert 2 to fraction \frac{6}{3}.

$$\left(\frac{16}{3}-\frac{6}{3}\right)\times \frac{5}{21}$$

Since \frac{16}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-6}{3}\times \frac{5}{21}$$

Subtract 6 from 16 to get 10.

$$\frac{10}{3}\times \frac{5}{21}$$

Multiply \frac{10}{3} times \frac{5}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 5}{3\times 21}$$

Do the multiplications in the fraction \frac{10\times 5}{3\times 21}.

$$\frac{50}{63}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3 ^ {2} \cdot 7} = 0.7936507936507936$$