Solve 6114/3frac{2{15}}

$$\frac { 6114 } { 3 \frac { 2 } { 15 } }$$

Evaluate

$$\frac{91710}{47}\approx 1951.276595745$$

Solution Steps

Divide 6114 by \frac{3\times 15+2}{15} by multiplying 6114 by the reciprocal of \frac{3\times 15+2}{15}.

$$\frac{6114\times 15}{3\times 15+2}$$

Multiply 6114 and 15 to get 91710.

$$\frac{91710}{3\times 15+2}$$

Multiply 3 and 15 to get 45.

$$\frac{91710}{45+2}$$

Add 45 and 2 to get 47.

$$\frac{91710}{47}$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 5 \cdot 1019}{47} = 1951\frac{13}{47} = 1951.276595744681$$