Solve 9672/73+3624/25/32frac{24{73}+128/25}=

$$\frac{ 96 \frac{ 72 }{ 73 } +36 \frac{ 24 }{ 25 } }{ 32 \frac{ 24 }{ 73 } +12 \frac{ 8 }{ 25 } } =$$

Evaluate

$$3$$

Solution Steps

Multiply 96 and 73 to get 7008.

$$\frac{\frac{7008+72}{73}+\frac{36\times 25+24}{25}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Add 7008 and 72 to get 7080.

$$\frac{\frac{7080}{73}+\frac{36\times 25+24}{25}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Multiply 36 and 25 to get 900.

$$\frac{\frac{7080}{73}+\frac{900+24}{25}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Add 900 and 24 to get 924.

$$\frac{\frac{7080}{73}+\frac{924}{25}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Least common multiple of 73 and 25 is 1825. Convert \frac{7080}{73} and \frac{924}{25} to fractions with denominator 1825.

$$\frac{\frac{177000}{1825}+\frac{67452}{1825}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Since \frac{177000}{1825} and \frac{67452}{1825} have the same denominator, add them by adding their numerators.

$$\frac{\frac{177000+67452}{1825}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Add 177000 and 67452 to get 244452.

$$\frac{\frac{244452}{1825}}{\frac{32\times 73+24}{73}+\frac{12\times 25+8}{25}}$$

Multiply 32 and 73 to get 2336.

$$\frac{\frac{244452}{1825}}{\frac{2336+24}{73}+\frac{12\times 25+8}{25}}$$

Add 2336 and 24 to get 2360.

$$\frac{\frac{244452}{1825}}{\frac{2360}{73}+\frac{12\times 25+8}{25}}$$

Multiply 12 and 25 to get 300.

$$\frac{\frac{244452}{1825}}{\frac{2360}{73}+\frac{300+8}{25}}$$

Add 300 and 8 to get 308.

$$\frac{\frac{244452}{1825}}{\frac{2360}{73}+\frac{308}{25}}$$

Least common multiple of 73 and 25 is 1825. Convert \frac{2360}{73} and \frac{308}{25} to fractions with denominator 1825.

$$\frac{\frac{244452}{1825}}{\frac{59000}{1825}+\frac{22484}{1825}}$$

Since \frac{59000}{1825} and \frac{22484}{1825} have the same denominator, add them by adding their numerators.

$$\frac{\frac{244452}{1825}}{\frac{59000+22484}{1825}}$$

Add 59000 and 22484 to get 81484.

$$\frac{\frac{244452}{1825}}{\frac{81484}{1825}}$$

Divide \frac{244452}{1825} by \frac{81484}{1825} by multiplying \frac{244452}{1825} by the reciprocal of \frac{81484}{1825}.

$$\frac{244452}{1825}\times \frac{1825}{81484}$$

Multiply \frac{244452}{1825} times \frac{1825}{81484} by multiplying numerator times numerator and denominator times denominator.

$$\frac{244452\times 1825}{1825\times 81484}$$

Cancel out 1825 in both numerator and denominator.

$$\frac{244452}{81484}$$

Divide 244452 by 81484 to get 3.

$$3$$

Factor

$$3$$