Solve 17/25*3800+5/25*4300+2/25*4800+1/25*5300

$$\frac{ 17 }{ 25 } \times 3800+ \frac{ 5 }{ 25 } \times 4300+ \frac{ 2 }{ 25 } \times 4800+ \frac{ 1 }{ 25 } \times 5300$$

Evaluate

$$4040$$

Solution Steps

Express \frac{17}{25}\times 3800 as a single fraction.

$$\frac{17\times 3800}{25}+\frac{5}{25}\times 4300+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Multiply 17 and 3800 to get 64600.

$$\frac{64600}{25}+\frac{5}{25}\times 4300+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Divide 64600 by 25 to get 2584.

$$2584+\frac{5}{25}\times 4300+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

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

$$2584+\frac{1}{5}\times 4300+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Multiply \frac{1}{5} and 4300 to get \frac{4300}{5}.

$$2584+\frac{4300}{5}+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Divide 4300 by 5 to get 860.

$$2584+860+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Add 2584 and 860 to get 3444.

$$3444+\frac{2}{25}\times 4800+\frac{1}{25}\times 5300$$

Express \frac{2}{25}\times 4800 as a single fraction.

$$3444+\frac{2\times 4800}{25}+\frac{1}{25}\times 5300$$

Multiply 2 and 4800 to get 9600.

$$3444+\frac{9600}{25}+\frac{1}{25}\times 5300$$

Divide 9600 by 25 to get 384.

$$3444+384+\frac{1}{25}\times 5300$$

Add 3444 and 384 to get 3828.

$$3828+\frac{1}{25}\times 5300$$

Multiply \frac{1}{25} and 5300 to get \frac{5300}{25}.

$$3828+\frac{5300}{25}$$

Divide 5300 by 25 to get 212.

$$3828+212$$

Add 3828 and 212 to get 4040.

$$4040$$

Factor

$$2^{3}\times 5\times 101$$