Solve 31/12*325/33

$$3 \frac { 1 } { 12 } \cdot 3 \frac { 25 } { 33 }$$

Evaluate

$$\frac{1147}{99}\approx 11.585858586$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+1}{12}\times \frac{3\times 33+25}{33}$$

Add 36 and 1 to get 37.

$$\frac{37}{12}\times \frac{3\times 33+25}{33}$$

Multiply 3 and 33 to get 99.

$$\frac{37}{12}\times \frac{99+25}{33}$$

Add 99 and 25 to get 124.

$$\frac{37}{12}\times \frac{124}{33}$$

Multiply \frac{37}{12} times \frac{124}{33} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 124}{12\times 33}$$

Do the multiplications in the fraction \frac{37\times 124}{12\times 33}.

$$\frac{4588}{396}$$

Reduce the fraction \frac{4588}{396} to lowest terms by extracting and canceling out 4.

$$\frac{1147}{99}$$

Factor

$$\frac{31 \cdot 37}{3 ^ {2} \cdot 11} = 11\frac{58}{99} = 11.585858585858587$$