Solve 250*(1+7.7div100)

$$250 \times (1+7.7 \div 100)$$

Evaluate

$$269.25$$

Solution Steps

Expand \frac{7.7}{100} by multiplying both numerator and the denominator by 10.

$$250\left(1+\frac{77}{1000}\right)$$

Convert 1 to fraction \frac{1000}{1000}.

$$250\left(\frac{1000}{1000}+\frac{77}{1000}\right)$$

Since \frac{1000}{1000} and \frac{77}{1000} have the same denominator, add them by adding their numerators.

$$250\times \frac{1000+77}{1000}$$

Add 1000 and 77 to get 1077.

$$250\times \frac{1077}{1000}$$

Express 250\times \frac{1077}{1000} as a single fraction.

$$\frac{250\times 1077}{1000}$$

Multiply 250 and 1077 to get 269250.

$$\frac{269250}{1000}$$

Reduce the fraction \frac{269250}{1000} to lowest terms by extracting and canceling out 250.

$$\frac{1077}{4}$$

Factor

$$\frac{3 \cdot 359}{2 ^ {2}} = 269\frac{1}{4} = 269.25$$