Solve 12.56^2+02.56div3.1472)^2*3.14*2=

$$12.56 ^ { 2 } + 02.56 \div 3.1472 ) ^ { 2 } \times 3.14 \times 2 =$$

Evaluate

$$\frac{194938332}{1229375}\approx 158.567021454$$

Solution Steps

Calculate 12.56 to the power of 2 and get 157.7536.

$$157.7536+\frac{2.56}{3.1472}$$

Expand \frac{2.56}{3.1472} by multiplying both numerator and the denominator by 10000.

$$157.7536+\frac{25600}{31472}$$

Reduce the fraction \frac{25600}{31472} to lowest terms by extracting and canceling out 16.

$$157.7536+\frac{1600}{1967}$$

Convert decimal number 157.7536 to fraction \frac{1577536}{10000}. Reduce the fraction \frac{1577536}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{98596}{625}+\frac{1600}{1967}$$

Least common multiple of 625 and 1967 is 1229375. Convert \frac{98596}{625} and \frac{1600}{1967} to fractions with denominator 1229375.

$$\frac{193938332}{1229375}+\frac{1000000}{1229375}$$

Since \frac{193938332}{1229375} and \frac{1000000}{1229375} have the same denominator, add them by adding their numerators.

$$\frac{193938332+1000000}{1229375}$$

Add 193938332 and 1000000 to get 194938332.

$$\frac{194938332}{1229375}$$

Factor

$$\frac{3 \cdot 433 \cdot 37517 \cdot 2 ^ {2}}{7 \cdot 281 \cdot 5 ^ {4}} = 158\frac{697082}{1229375} = 158.56702145399086$$