Solve (25+25+49+49+49)div5-6.2^2

$$(25+25+49+49+49) \div 5- { 6.2 }^{ 2 }$$

Evaluate

$$0.96$$

Solution Steps

Add 25 and 25 to get 50.

$$\frac{50+49+49+49}{5}-6.2^{2}$$

Add 50 and 49 to get 99.

$$\frac{99+49+49}{5}-6.2^{2}$$

Add 99 and 49 to get 148.

$$\frac{148+49}{5}-6.2^{2}$$

Add 148 and 49 to get 197.

$$\frac{197}{5}-6.2^{2}$$

Calculate 6.2 to the power of 2 and get 38.44.

$$\frac{197}{5}-38.44$$

Convert decimal number 38.44 to fraction \frac{3844}{100}. Reduce the fraction \frac{3844}{100} to lowest terms by extracting and canceling out 4.

$$\frac{197}{5}-\frac{961}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{197}{5} and \frac{961}{25} to fractions with denominator 25.

$$\frac{985}{25}-\frac{961}{25}$$

Since \frac{985}{25} and \frac{961}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{985-961}{25}$$

Subtract 961 from 985 to get 24.

$$\frac{24}{25}$$

Factor

$$\frac{3 \cdot 2 ^ {3}}{5 ^ {2}} = 0.96$$