Solve 3.14*8*0.25+314div100

$$3.14 \times 8 \times 0.25+314 \div 100$$

Evaluate

$$9.42$$

Solution Steps

Multiply 3.14 and 8 to get 25.12.

$$25.12\times 0.25+\frac{314}{100}$$

Multiply 25.12 and 0.25 to get 6.28.

$$6.28+\frac{314}{100}$$

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

$$6.28+\frac{157}{50}$$

Convert decimal number 6.28 to fraction \frac{628}{100}. Reduce the fraction \frac{628}{100} to lowest terms by extracting and canceling out 4.

$$\frac{157}{25}+\frac{157}{50}$$

Least common multiple of 25 and 50 is 50. Convert \frac{157}{25} and \frac{157}{50} to fractions with denominator 50.

$$\frac{314}{50}+\frac{157}{50}$$

Since \frac{314}{50} and \frac{157}{50} have the same denominator, add them by adding their numerators.

$$\frac{314+157}{50}$$

Add 314 and 157 to get 471.

$$\frac{471}{50}$$

Factor

$$\frac{3 \cdot 157}{2 \cdot 5 ^ {2}} = 9\frac{21}{50} = 9.42$$