55^2-17/25+1/3-এর সমাধান করুন

$${ 55 }^{ 2 } - \frac{ 17 }{ 25 } + \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{226849}{75}\approx 3024.653333333$$

Solution Steps

Calculate 55 to the power of 2 and get 3025.

$$3025-\frac{17}{25}+\frac{1}{3}$$

Convert 3025 to fraction \frac{75625}{25}.

$$\frac{75625}{25}-\frac{17}{25}+\frac{1}{3}$$

Since \frac{75625}{25} and \frac{17}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75625-17}{25}+\frac{1}{3}$$

Subtract 17 from 75625 to get 75608.

$$\frac{75608}{25}+\frac{1}{3}$$

Least common multiple of 25 and 3 is 75. Convert \frac{75608}{25} and \frac{1}{3} to fractions with denominator 75.

$$\frac{226824}{75}+\frac{25}{75}$$

Since \frac{226824}{75} and \frac{25}{75} have the same denominator, add them by adding their numerators.

$$\frac{226824+25}{75}$$

Add 226824 and 25 to get 226849.

$$\frac{226849}{75}$$

Factor

$$\frac{7 \cdot 23 \cdot 1409}{3 \cdot 5 ^ {2}} = 3024\frac{49}{75} \approx 3024.653333333$$