Solve 6/3frac{4{5}}

$$\frac { 6 } { 3 \frac { 4 } { 5 } }$$

Evaluate

$$\frac{30}{19}\approx 1.578947368$$

Solution Steps

Divide 6 by \frac{3\times 5+4}{5} by multiplying 6 by the reciprocal of \frac{3\times 5+4}{5}.

$$\frac{6\times 5}{3\times 5+4}$$

Multiply 6 and 5 to get 30.

$$\frac{30}{3\times 5+4}$$

Multiply 3 and 5 to get 15.

$$\frac{30}{15+4}$$

Add 15 and 4 to get 19.

$$\frac{30}{19}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{19} = 1\frac{11}{19} = 1.5789473684210527$$