Solve 1+2/4/4+frac{3{4}}

$$\frac { 1 + \frac { 2 } { 4 } } { 4 + \frac { 3 } { 4 } }$$

Evaluate

$$\frac{6}{19}\approx 0.315789474$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1+\frac{1}{2}}{4+\frac{3}{4}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{2}{2}+\frac{1}{2}}{4+\frac{3}{4}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+1}{2}}{4+\frac{3}{4}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{3}{2}}{4+\frac{3}{4}}$$

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

$$\frac{\frac{3}{2}}{\frac{16}{4}+\frac{3}{4}}$$

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

$$\frac{\frac{3}{2}}{\frac{16+3}{4}}$$

Add 16 and 3 to get 19.

$$\frac{\frac{3}{2}}{\frac{19}{4}}$$

Divide \frac{3}{2} by \frac{19}{4} by multiplying \frac{3}{2} by the reciprocal of \frac{19}{4}.

$$\frac{3}{2}\times \frac{4}{19}$$

Multiply \frac{3}{2} times \frac{4}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{2\times 19}$$

Do the multiplications in the fraction \frac{3\times 4}{2\times 19}.

$$\frac{12}{38}$$

Reduce the fraction \frac{12}{38} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{2 \cdot 3}{19} = 0.3157894736842105$$