Solve 0.7*79^2div197+0.3*49^2div108

$$0.7 \times { 79 }^{ 2 } \div 197+0.3 \times { 49 }^{ 2 } \div 108$$

Evaluate

$$\frac{2045729}{70920}\approx 28.845586576$$

Solution Steps

Calculate 79 to the power of 2 and get 6241.

$$\frac{0.7\times 6241}{197}+\frac{0.3\times 49^{2}}{108}$$

Multiply 0.7 and 6241 to get 4368.7.

$$\frac{4368.7}{197}+\frac{0.3\times 49^{2}}{108}$$

Expand \frac{4368.7}{197} by multiplying both numerator and the denominator by 10.

$$\frac{43687}{1970}+\frac{0.3\times 49^{2}}{108}$$

Calculate 49 to the power of 2 and get 2401.

$$\frac{43687}{1970}+\frac{0.3\times 2401}{108}$$

Multiply 0.3 and 2401 to get 720.3.

$$\frac{43687}{1970}+\frac{720.3}{108}$$

Expand \frac{720.3}{108} by multiplying both numerator and the denominator by 10.

$$\frac{43687}{1970}+\frac{7203}{1080}$$

Reduce the fraction \frac{7203}{1080} to lowest terms by extracting and canceling out 3.

$$\frac{43687}{1970}+\frac{2401}{360}$$

Least common multiple of 1970 and 360 is 70920. Convert \frac{43687}{1970} and \frac{2401}{360} to fractions with denominator 70920.

$$\frac{1572732}{70920}+\frac{472997}{70920}$$

Since \frac{1572732}{70920} and \frac{472997}{70920} have the same denominator, add them by adding their numerators.

$$\frac{1572732+472997}{70920}$$

Add 1572732 and 472997 to get 2045729.

$$\frac{2045729}{70920}$$

Factor

$$\frac{7 \cdot 17 \cdot 17191}{5 \cdot 197 \cdot 2 ^ {3} \cdot 3 ^ {2}} = 28\frac{59969}{70920} = 28.84558657642414$$