Solve 6.5*5*49/21.*27*5^2=

$$\frac { 6.5 \times 5 \times 49 } { 21 . \times 27 \times 5 ^ { 2 } } =$$

Evaluate

$$\frac{91}{810}\approx 0.112345679$$

Solution Steps

Cancel out 5\times 7 in both numerator and denominator.

$$\frac{6.5\times 7}{3\times 5\times 27}$$

Multiply 6.5 and 7 to get 45.5.

$$\frac{45.5}{3\times 5\times 27}$$

Multiply 3 and 5 to get 15.

$$\frac{45.5}{15\times 27}$$

Multiply 15 and 27 to get 405.

$$\frac{45.5}{405}$$

Expand \frac{45.5}{405} by multiplying both numerator and the denominator by 10.

$$\frac{455}{4050}$$

Reduce the fraction \frac{455}{4050} to lowest terms by extracting and canceling out 5.

$$\frac{91}{810}$$

Factor

$$\frac{7 \cdot 13}{2 \cdot 5 \cdot 3 ^ {4}} = 0.11234567901234568$$