Solve 21/5quad(7)quad33/5

$$2 \frac { 1 } { 5 } \quad ( 7 ) \quad 3 \frac { 3 } { 5 }$$

Evaluate

$$\frac{1386}{25}=55.44$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}\times 7\times \frac{3\times 5+3}{5}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}\times 7\times \frac{3\times 5+3}{5}$$

Express \frac{11}{5}\times 7 as a single fraction.

$$\frac{11\times 7}{5}\times \frac{3\times 5+3}{5}$$

Multiply 11 and 7 to get 77.

$$\frac{77}{5}\times \frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{77}{5}\times \frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{77}{5}\times \frac{18}{5}$$

Multiply \frac{77}{5} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 18}{5\times 5}$$

Do the multiplications in the fraction \frac{77\times 18}{5\times 5}.

$$\frac{1386}{25}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 11}{5 ^ {2}} = 55\frac{11}{25} = 55.44$$