Solve 3.14(49/2)7

$$3.14( \frac{ 49 }{ 2 } )7$$

Evaluate

$$538.51$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{157}{50}\times \frac{49}{2}\times 7$$

Multiply \frac{157}{50} times \frac{49}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 49}{50\times 2}\times 7$$

Do the multiplications in the fraction \frac{157\times 49}{50\times 2}.

$$\frac{7693}{100}\times 7$$

Express \frac{7693}{100}\times 7 as a single fraction.

$$\frac{7693\times 7}{100}$$

Multiply 7693 and 7 to get 53851.

$$\frac{53851}{100}$$

Factor

$$\frac{157 \cdot 7 ^ {3}}{2 ^ {2} \cdot 5 ^ {2}} = 538\frac{51}{100} = 538.51$$