Solve 512/3*3/5+713/4*4/7+91frac{4}{5}*frac{5}{9}

$$51 \frac { 2 } { 3 } \times \frac{ 3 }{ 5 } + 71 \frac { 3 } { 4 } \times \frac{ 4 }{ 7 } + 91 \frac { 4 } { 5 } \times \frac{ 5 }{ 9 }$$

Evaluate

$$123$$

Solution Steps

Multiply 51 and 3 to get 153.

$$\frac{153+2}{3}\times \frac{3}{5}+\frac{71\times 4+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Add 153 and 2 to get 155.

$$\frac{155}{3}\times \frac{3}{5}+\frac{71\times 4+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Multiply \frac{155}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{155\times 3}{3\times 5}+\frac{71\times 4+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Cancel out 3 in both numerator and denominator.

$$\frac{155}{5}+\frac{71\times 4+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Divide 155 by 5 to get 31.

$$31+\frac{71\times 4+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Multiply 71 and 4 to get 284.

$$31+\frac{284+3}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Add 284 and 3 to get 287.

$$31+\frac{287}{4}\times \frac{4}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Multiply \frac{287}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$31+\frac{287\times 4}{4\times 7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Cancel out 4 in both numerator and denominator.

$$31+\frac{287}{7}+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Divide 287 by 7 to get 41.

$$31+41+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Add 31 and 41 to get 72.

$$72+\frac{91\times 5+4}{5}\times \frac{5}{9}$$

Multiply 91 and 5 to get 455.

$$72+\frac{455+4}{5}\times \frac{5}{9}$$

Add 455 and 4 to get 459.

$$72+\frac{459}{5}\times \frac{5}{9}$$

Multiply \frac{459}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$72+\frac{459\times 5}{5\times 9}$$

Cancel out 5 in both numerator and denominator.

$$72+\frac{459}{9}$$

Divide 459 by 9 to get 51.

$$72+51$$

Add 72 and 51 to get 123.

$$123$$

Factor

$$3\times 41$$