Solve 3/4+frac{1{7}}

$$\frac{ 3 }{ 4+ \frac{ 1 }{ 7 } }$$

Evaluate

$$\frac{21}{29}\approx 0.724137931$$

Solution Steps

Convert 4 to fraction \frac{28}{7}.

$$\frac{3}{\frac{28}{7}+\frac{1}{7}}$$

Since \frac{28}{7} and \frac{1}{7} have the same denominator, add them by adding their numerators.

$$\frac{3}{\frac{28+1}{7}}$$

Add 28 and 1 to get 29.

$$\frac{3}{\frac{29}{7}}$$

Divide 3 by \frac{29}{7} by multiplying 3 by the reciprocal of \frac{29}{7}.

$$3\times \frac{7}{29}$$

Express 3\times \frac{7}{29} as a single fraction.

$$\frac{3\times 7}{29}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{29}$$

Factor

$$\frac{3 \cdot 7}{29} = 0.7241379310344828$$