Solve 5:825*252lfloor21

$$5 : 825 \cdot 252 \lfloor 21$$

Evaluate

$$\frac{1764}{55}\approx 32.072727273$$

Solution Steps

Reduce the fraction \frac{5}{825} to lowest terms by extracting and canceling out 5.

$$\frac{1}{165}\times 252\lfloor 21\rfloor$$

Multiply \frac{1}{165} and 252 to get \frac{252}{165}.

$$\frac{252}{165}\lfloor 21\rfloor$$

Reduce the fraction \frac{252}{165} to lowest terms by extracting and canceling out 3.

$$\frac{84}{55}\lfloor 21\rfloor$$

The floor of a real number a is the largest integer number less than or equal to a. The floor of 21 is 21.

$$\frac{84}{55}\times 21$$

Express \frac{84}{55}\times 21 as a single fraction.

$$\frac{84\times 21}{55}$$

Multiply 84 and 21 to get 1764.

$$\frac{1764}{55}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 7 ^ {2}}{5 \cdot 11} = 32\frac{4}{55} = 32.07272727272727$$