Solve 761/10+3883/100+249/10+5217/100

$$76 \frac { 1 } { 10 } + 38 \frac { 83 } { 100 } + 24 \frac { 9 } { 10 } + 52 \frac { 17 } { 100 }$$

Evaluate

$$192$$

Solution Steps

Multiply 76 and 10 to get 760.

$$\frac{760+1}{10}+\frac{38\times 100+83}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Add 760 and 1 to get 761.

$$\frac{761}{10}+\frac{38\times 100+83}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Multiply 38 and 100 to get 3800.

$$\frac{761}{10}+\frac{3800+83}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Add 3800 and 83 to get 3883.

$$\frac{761}{10}+\frac{3883}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Least common multiple of 10 and 100 is 100. Convert \frac{761}{10} and \frac{3883}{100} to fractions with denominator 100.

$$\frac{7610}{100}+\frac{3883}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Since \frac{7610}{100} and \frac{3883}{100} have the same denominator, add them by adding their numerators.

$$\frac{7610+3883}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Add 7610 and 3883 to get 11493.

$$\frac{11493}{100}+\frac{24\times 10+9}{10}+\frac{52\times 100+17}{100}$$

Multiply 24 and 10 to get 240.

$$\frac{11493}{100}+\frac{240+9}{10}+\frac{52\times 100+17}{100}$$

Add 240 and 9 to get 249.

$$\frac{11493}{100}+\frac{249}{10}+\frac{52\times 100+17}{100}$$

Least common multiple of 100 and 10 is 100. Convert \frac{11493}{100} and \frac{249}{10} to fractions with denominator 100.

$$\frac{11493}{100}+\frac{2490}{100}+\frac{52\times 100+17}{100}$$

Since \frac{11493}{100} and \frac{2490}{100} have the same denominator, add them by adding their numerators.

$$\frac{11493+2490}{100}+\frac{52\times 100+17}{100}$$

Add 11493 and 2490 to get 13983.

$$\frac{13983}{100}+\frac{52\times 100+17}{100}$$

Multiply 52 and 100 to get 5200.

$$\frac{13983}{100}+\frac{5200+17}{100}$$

Add 5200 and 17 to get 5217.

$$\frac{13983}{100}+\frac{5217}{100}$$

Since \frac{13983}{100} and \frac{5217}{100} have the same denominator, add them by adding their numerators.

$$\frac{13983+5217}{100}$$

Add 13983 and 5217 to get 19200.

$$\frac{19200}{100}$$

Divide 19200 by 100 to get 192.

$$192$$

Factor

$$2^{6}\times 3$$