Solve 34/5*1234+6666div5/31+543.2*38

$$3 \frac { 4 } { 5 } \times 1234 + 6666 \div \frac { 5 } { 31 } + 543.2 \times 38$$

Evaluate

$$66660$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}\times 1234+\frac{6666}{\frac{5}{31}}+543.2\times 38$$

Add 15 and 4 to get 19.

$$\frac{19}{5}\times 1234+\frac{6666}{\frac{5}{31}}+543.2\times 38$$

Express \frac{19}{5}\times 1234 as a single fraction.

$$\frac{19\times 1234}{5}+\frac{6666}{\frac{5}{31}}+543.2\times 38$$

Multiply 19 and 1234 to get 23446.

$$\frac{23446}{5}+\frac{6666}{\frac{5}{31}}+543.2\times 38$$

Divide 6666 by \frac{5}{31} by multiplying 6666 by the reciprocal of \frac{5}{31}.

$$\frac{23446}{5}+6666\times \frac{31}{5}+543.2\times 38$$

Express 6666\times \frac{31}{5} as a single fraction.

$$\frac{23446}{5}+\frac{6666\times 31}{5}+543.2\times 38$$

Multiply 6666 and 31 to get 206646.

$$\frac{23446}{5}+\frac{206646}{5}+543.2\times 38$$

Since \frac{23446}{5} and \frac{206646}{5} have the same denominator, add them by adding their numerators.

$$\frac{23446+206646}{5}+543.2\times 38$$

Add 23446 and 206646 to get 230092.

$$\frac{230092}{5}+543.2\times 38$$

Multiply 543.2 and 38 to get 20641.6.

$$\frac{230092}{5}+20641.6$$

Convert decimal number 20641.6 to fraction \frac{206416}{10}. Reduce the fraction \frac{206416}{10} to lowest terms by extracting and canceling out 2.

$$\frac{230092}{5}+\frac{103208}{5}$$

Since \frac{230092}{5} and \frac{103208}{5} have the same denominator, add them by adding their numerators.

$$\frac{230092+103208}{5}$$

Add 230092 and 103208 to get 333300.

$$\frac{333300}{5}$$

Divide 333300 by 5 to get 66660.

$$66660$$

Factor

$$3\times 5\times 11\times 101\times 2^{2}$$