Solve 4*9*(65/49)^2+6*5*6*5/49+10

$$4 \cdot 9 \times ( \frac { 65 } { 49 } ) ^ { 2 } + 6 \cdot 5 \times \frac { 6 \times 5 } { 49 } + 10$$

Evaluate

$$\frac{220210}{2401}\approx 91.715951687$$

Solution Steps

Multiply 4 and 9 to get 36. Multiply 6 and 5 to get 30.

$$36\times \left(\frac{65}{49}\right)^{2}+30\times \frac{6\times 5}{49}+10$$

Calculate \frac{65}{49} to the power of 2 and get \frac{4225}{2401}.

$$36\times \frac{4225}{2401}+30\times \frac{6\times 5}{49}+10$$

Express 36\times \frac{4225}{2401} as a single fraction.

$$\frac{36\times 4225}{2401}+30\times \frac{6\times 5}{49}+10$$

Multiply 36 and 4225 to get 152100.

$$\frac{152100}{2401}+30\times \frac{6\times 5}{49}+10$$

Multiply 6 and 5 to get 30.

$$\frac{152100}{2401}+30\times \frac{30}{49}+10$$

Express 30\times \frac{30}{49} as a single fraction.

$$\frac{152100}{2401}+\frac{30\times 30}{49}+10$$

Multiply 30 and 30 to get 900.

$$\frac{152100}{2401}+\frac{900}{49}+10$$

Least common multiple of 2401 and 49 is 2401. Convert \frac{152100}{2401} and \frac{900}{49} to fractions with denominator 2401.

$$\frac{152100}{2401}+\frac{44100}{2401}+10$$

Since \frac{152100}{2401} and \frac{44100}{2401} have the same denominator, add them by adding their numerators.

$$\frac{152100+44100}{2401}+10$$

Add 152100 and 44100 to get 196200.

$$\frac{196200}{2401}+10$$

Convert 10 to fraction \frac{24010}{2401}.

$$\frac{196200}{2401}+\frac{24010}{2401}$$

Since \frac{196200}{2401} and \frac{24010}{2401} have the same denominator, add them by adding their numerators.

$$\frac{196200+24010}{2401}$$

Add 196200 and 24010 to get 220210.

$$\frac{220210}{2401}$$

Factor

$$\frac{2 \cdot 5 \cdot 19 ^ {2} \cdot 61}{7 ^ {4}} = 91\frac{1719}{2401} = 91.71595168679717$$