Solve 7+9.74div0.2-0.7^2

$$7 + 9.74 \div 0.2 - 0.7 ^ { 2 }$$

Evaluate

$$55.21$$

Solution Steps

Expand \frac{9.74}{0.2} by multiplying both numerator and the denominator by 100.

$$7+\frac{974}{20}-0.7^{2}$$

Reduce the fraction \frac{974}{20} to lowest terms by extracting and canceling out 2.

$$7+\frac{487}{10}-0.7^{2}$$

Convert 7 to fraction \frac{70}{10}.

$$\frac{70}{10}+\frac{487}{10}-0.7^{2}$$

Since \frac{70}{10} and \frac{487}{10} have the same denominator, add them by adding their numerators.

$$\frac{70+487}{10}-0.7^{2}$$

Add 70 and 487 to get 557.

$$\frac{557}{10}-0.7^{2}$$

Calculate 0.7 to the power of 2 and get 0.49.

$$\frac{557}{10}-0.49$$

Convert decimal number 0.49 to fraction \frac{49}{100}.

$$\frac{557}{10}-\frac{49}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{557}{10} and \frac{49}{100} to fractions with denominator 100.

$$\frac{5570}{100}-\frac{49}{100}$$

Since \frac{5570}{100} and \frac{49}{100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5570-49}{100}$$

Subtract 49 from 5570 to get 5521.

$$\frac{5521}{100}$$

Factor

$$\frac{5521}{2 ^ {2} \cdot 5 ^ {2}} = 55\frac{21}{100} = 55.21$$