Solve (2677div30*1.5)+375+500+(775)

$$( 2677 \div 30 \times 1.5 ) + 375 + 500 + ( 775 )$$

Evaluate

$$1783.85$$

Solution Steps

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{2677}{30}\times \frac{3}{2}+375+500+775$$

Multiply \frac{2677}{30} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2677\times 3}{30\times 2}+375+500+775$$

Do the multiplications in the fraction \frac{2677\times 3}{30\times 2}.

$$\frac{8031}{60}+375+500+775$$

Reduce the fraction \frac{8031}{60} to lowest terms by extracting and canceling out 3.

$$\frac{2677}{20}+375+500+775$$

Convert 375 to fraction \frac{7500}{20}.

$$\frac{2677}{20}+\frac{7500}{20}+500+775$$

Since \frac{2677}{20} and \frac{7500}{20} have the same denominator, add them by adding their numerators.

$$\frac{2677+7500}{20}+500+775$$

Add 2677 and 7500 to get 10177.

$$\frac{10177}{20}+500+775$$

Convert 500 to fraction \frac{10000}{20}.

$$\frac{10177}{20}+\frac{10000}{20}+775$$

Since \frac{10177}{20} and \frac{10000}{20} have the same denominator, add them by adding their numerators.

$$\frac{10177+10000}{20}+775$$

Add 10177 and 10000 to get 20177.

$$\frac{20177}{20}+775$$

Convert 775 to fraction \frac{15500}{20}.

$$\frac{20177}{20}+\frac{15500}{20}$$

Since \frac{20177}{20} and \frac{15500}{20} have the same denominator, add them by adding their numerators.

$$\frac{20177+15500}{20}$$

Add 20177 and 15500 to get 35677.

$$\frac{35677}{20}$$

Factor

$$\frac{35677}{5 \cdot 2 ^ {2}} = 1783\frac{17}{20} = 1783.85$$