Solve 3+1/5:7/2

$$3 + \frac { 1 } { 5 } : \frac { 7 } { 2 }$$

Evaluate

$$\frac{107}{35}\approx 3.057142857$$

Solution Steps

Divide \frac{1}{5} by \frac{7}{2} by multiplying \frac{1}{5} by the reciprocal of \frac{7}{2}.

$$3+\frac{1}{5}\times \frac{2}{7}$$

Multiply \frac{1}{5} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$3+\frac{1\times 2}{5\times 7}$$

Do the multiplications in the fraction \frac{1\times 2}{5\times 7}.

$$3+\frac{2}{35}$$

Convert 3 to fraction \frac{105}{35}.

$$\frac{105}{35}+\frac{2}{35}$$

Since \frac{105}{35} and \frac{2}{35} have the same denominator, add them by adding their numerators.

$$\frac{105+2}{35}$$

Add 105 and 2 to get 107.

$$\frac{107}{35}$$

Factor

$$\frac{107}{5 \cdot 7} = 3\frac{2}{35} = 3.057142857142857$$