Solve 3,24quadtext{(2)}49/121text{(3)}1/100

$$3,24 \quad \text { (2) } \frac { 49 } { 121 } \text { (3) } \frac { 1 } { 100 }$$

Evaluate

$$\frac{11907}{151250}\approx 0,078723967$$

Solution Steps

Multiply 3,24 and 2 to get 6,48.

$$6,48\times \frac{49}{121}\times 3\times \frac{1}{100}$$

Convert decimal number 6,48 to fraction \frac{648}{100}. Reduce the fraction \frac{648}{100} to lowest terms by extracting and canceling out 4.

$$\frac{162}{25}\times \frac{49}{121}\times 3\times \frac{1}{100}$$

Multiply \frac{162}{25} times \frac{49}{121} by multiplying numerator times numerator and denominator times denominator.

$$\frac{162\times 49}{25\times 121}\times 3\times \frac{1}{100}$$

Do the multiplications in the fraction \frac{162\times 49}{25\times 121}.

$$\frac{7938}{3025}\times 3\times \frac{1}{100}$$

Express \frac{7938}{3025}\times 3 as a single fraction.

$$\frac{7938\times 3}{3025}\times \frac{1}{100}$$

Multiply 7938 and 3 to get 23814.

$$\frac{23814}{3025}\times \frac{1}{100}$$

Multiply \frac{23814}{3025} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23814\times 1}{3025\times 100}$$

Do the multiplications in the fraction \frac{23814\times 1}{3025\times 100}.

$$\frac{23814}{302500}$$

Reduce the fraction \frac{23814}{302500} to lowest terms by extracting and canceling out 2.

$$\frac{11907}{151250}$$

Factor

$$\frac{3 ^ {5} \cdot 7 ^ {2}}{2 \cdot 5 ^ {4} \cdot 11 ^ {2}} = 0.07872396694214875$$