Solve 7+[100/2-45/25]*0.5

$$7 + [ \frac { \frac { 100 } { 2 } - 45 } { 25 } ] * 0.5$$

Evaluate

$$7.1$$

Solution Steps

Divide 100 by 2 to get 50.

$$7+\frac{50-45}{25}\times 0.5$$

Subtract 45 from 50 to get 5.

$$7+\frac{5}{25}\times 0.5$$

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$7+\frac{1}{5}\times 0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$7+\frac{1}{5}\times \frac{1}{2}$$

Multiply \frac{1}{5} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$7+\frac{1\times 1}{5\times 2}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 2}.

$$7+\frac{1}{10}$$

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

$$\frac{70}{10}+\frac{1}{10}$$

Since \frac{70}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.

$$\frac{70+1}{10}$$

Add 70 and 1 to get 71.

$$\frac{71}{10}$$

Factor

$$\frac{71}{2 \cdot 5} = 7\frac{1}{10} = 7.1$$