Solve 6/4+frac{3{4}}

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

Evaluate

$$\frac{24}{19}\approx 1.263157895$$

Solution Steps

Convert 4 to fraction \frac{16}{4}.

$$\frac{6}{\frac{16}{4}+\frac{3}{4}}$$

Since \frac{16}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{6}{\frac{16+3}{4}}$$

Add 16 and 3 to get 19.

$$\frac{6}{\frac{19}{4}}$$

Divide 6 by \frac{19}{4} by multiplying 6 by the reciprocal of \frac{19}{4}.

$$6\times \frac{4}{19}$$

Express 6\times \frac{4}{19} as a single fraction.

$$\frac{6\times 4}{19}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{19}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{19} = 1\frac{5}{19} = 1.263157894736842$$