Solve 400+2.25+2.52/2*15

$$400 + \frac { 2.25 + 2.52 } { 2 } \cdot 15$$

Evaluate

$$435.775$$

Solution Steps

Add 2.25 and 2.52 to get 4.77.

$$400+\frac{4.77}{2}\times 15$$

Expand \frac{4.77}{2} by multiplying both numerator and the denominator by 100.

$$400+\frac{477}{200}\times 15$$

Express \frac{477}{200}\times 15 as a single fraction.

$$400+\frac{477\times 15}{200}$$

Multiply 477 and 15 to get 7155.

$$400+\frac{7155}{200}$$

Reduce the fraction \frac{7155}{200} to lowest terms by extracting and canceling out 5.

$$400+\frac{1431}{40}$$

Convert 400 to fraction \frac{16000}{40}.

$$\frac{16000}{40}+\frac{1431}{40}$$

Since \frac{16000}{40} and \frac{1431}{40} have the same denominator, add them by adding their numerators.

$$\frac{16000+1431}{40}$$

Add 16000 and 1431 to get 17431.

$$\frac{17431}{40}$$

Factor

$$\frac{17431}{5 \cdot 2 ^ {3}} = 435\frac{31}{40} = 435.775$$