Solve (2677div30*15)+375+500+(775)

$$( 2677 \div 30 \times 15 ) + 375 + 500 + ( 775 )$$

Evaluate

$$\frac{5977}{2}=2988.5$$

Solution Steps

Express \frac{2677}{30}\times 15 as a single fraction.

$$\frac{2677\times 15}{30}+375+500+775$$

Multiply 2677 and 15 to get 40155.

$$\frac{40155}{30}+375+500+775$$

Reduce the fraction \frac{40155}{30} to lowest terms by extracting and canceling out 15.

$$\frac{2677}{2}+375+500+775$$

Convert 375 to fraction \frac{750}{2}.

$$\frac{2677}{2}+\frac{750}{2}+500+775$$

Since \frac{2677}{2} and \frac{750}{2} have the same denominator, add them by adding their numerators.

$$\frac{2677+750}{2}+500+775$$

Add 2677 and 750 to get 3427.

$$\frac{3427}{2}+500+775$$

Convert 500 to fraction \frac{1000}{2}.

$$\frac{3427}{2}+\frac{1000}{2}+775$$

Since \frac{3427}{2} and \frac{1000}{2} have the same denominator, add them by adding their numerators.

$$\frac{3427+1000}{2}+775$$

Add 3427 and 1000 to get 4427.

$$\frac{4427}{2}+775$$

Convert 775 to fraction \frac{1550}{2}.

$$\frac{4427}{2}+\frac{1550}{2}$$

Since \frac{4427}{2} and \frac{1550}{2} have the same denominator, add them by adding their numerators.

$$\frac{4427+1550}{2}$$

Add 4427 and 1550 to get 5977.

$$\frac{5977}{2}$$

Factor

$$\frac{43 \cdot 139}{2} = 2988\frac{1}{2} = 2988.5$$