Solve (37/12)div(8/9)=

$$( 3 \frac { 7 } { 12 } ) \div ( \frac { 8 } { 9 } ) =$$

Evaluate

$$\frac{129}{32}=4.03125$$

Solution Steps

Divide \frac{3\times 12+7}{12} by \frac{8}{9} by multiplying \frac{3\times 12+7}{12} by the reciprocal of \frac{8}{9}.

$$\frac{\left(3\times 12+7\right)\times 9}{12\times 8}$$

Cancel out 3 in both numerator and denominator.

$$\frac{3\left(7+3\times 12\right)}{4\times 8}$$

Multiply 3 and 12 to get 36.

$$\frac{3\left(7+36\right)}{4\times 8}$$

Add 7 and 36 to get 43.

$$\frac{3\times 43}{4\times 8}$$

Multiply 3 and 43 to get 129.

$$\frac{129}{4\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{129}{32}$$

Factor

$$\frac{3 \cdot 43}{2 ^ {5}} = 4\frac{1}{32} = 4.03125$$