Solve 563/99113/31145/90

$$5 \frac{ 63 }{ 99 } 1 \frac{ 13 }{ 31 } 1 \frac{ 45 }{ 90 }$$

Evaluate

$$12$$

Solution Steps

Multiply 5 and 99 to get 495.

$$\frac{495+63}{99}\times \frac{1\times 31+13}{31}\times \frac{1\times 90+45}{90}$$

Add 495 and 63 to get 558.

$$\frac{558}{99}\times \frac{1\times 31+13}{31}\times \frac{1\times 90+45}{90}$$

Reduce the fraction \frac{558}{99} to lowest terms by extracting and canceling out 9.

$$\frac{62}{11}\times \frac{1\times 31+13}{31}\times \frac{1\times 90+45}{90}$$

Multiply 1 and 31 to get 31.

$$\frac{62}{11}\times \frac{31+13}{31}\times \frac{1\times 90+45}{90}$$

Add 31 and 13 to get 44.

$$\frac{62}{11}\times \frac{44}{31}\times \frac{1\times 90+45}{90}$$

Multiply \frac{62}{11} times \frac{44}{31} by multiplying numerator times numerator and denominator times denominator.

$$\frac{62\times 44}{11\times 31}\times \frac{1\times 90+45}{90}$$

Do the multiplications in the fraction \frac{62\times 44}{11\times 31}.

$$\frac{2728}{341}\times \frac{1\times 90+45}{90}$$

Divide 2728 by 341 to get 8.

$$8\times \frac{1\times 90+45}{90}$$

Multiply 1 and 90 to get 90.

$$8\times \frac{90+45}{90}$$

Add 90 and 45 to get 135.

$$8\times \frac{135}{90}$$

Reduce the fraction \frac{135}{90} to lowest terms by extracting and canceling out 45.

$$8\times \frac{3}{2}$$

Express 8\times \frac{3}{2} as a single fraction.

$$\frac{8\times 3}{2}$$

Multiply 8 and 3 to get 24.

$$\frac{24}{2}$$

Divide 24 by 2 to get 12.

$$12$$

Factor

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