Solve 32/52/frac{49{56}}

$$\frac { 3 \frac { 2 } { 52 } } { \frac { 49 } { 56 } }$$

Evaluate

$$\frac{316}{91}\approx 3.472527473$$

Solution Steps

Divide \frac{3\times 52+2}{52} by \frac{49}{56} by multiplying \frac{3\times 52+2}{52} by the reciprocal of \frac{49}{56}.

$$\frac{\left(3\times 52+2\right)\times 56}{52\times 49}$$

Cancel out 4\times 7 in both numerator and denominator.

$$\frac{2\left(2+3\times 52\right)}{7\times 13}$$

Multiply 3 and 52 to get 156.

$$\frac{2\left(2+156\right)}{7\times 13}$$

Add 2 and 156 to get 158.

$$\frac{2\times 158}{7\times 13}$$

Multiply 2 and 158 to get 316.

$$\frac{316}{7\times 13}$$

Multiply 7 and 13 to get 91.

$$\frac{316}{91}$$

Factor

$$\frac{2 ^ {2} \cdot 79}{7 \cdot 13} = 3\frac{43}{91} = 3.4725274725274726$$