Solve (17/35+3/8):5/28

$$( \frac { 17 } { 35 } + \frac { 3 } { 8 } ) : \frac { 5 } { 28 }$$

Evaluate

$$\frac{241}{50}=4.82$$

Solution Steps

Least common multiple of 35 and 8 is 280. Convert \frac{17}{35} and \frac{3}{8} to fractions with denominator 280.

$$\frac{\frac{136}{280}+\frac{105}{280}}{\frac{5}{28}}$$

Since \frac{136}{280} and \frac{105}{280} have the same denominator, add them by adding their numerators.

$$\frac{\frac{136+105}{280}}{\frac{5}{28}}$$

Add 136 and 105 to get 241.

$$\frac{\frac{241}{280}}{\frac{5}{28}}$$

Divide \frac{241}{280} by \frac{5}{28} by multiplying \frac{241}{280} by the reciprocal of \frac{5}{28}.

$$\frac{241}{280}\times \frac{28}{5}$$

Multiply \frac{241}{280} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{241\times 28}{280\times 5}$$

Do the multiplications in the fraction \frac{241\times 28}{280\times 5}.

$$\frac{6748}{1400}$$

Reduce the fraction \frac{6748}{1400} to lowest terms by extracting and canceling out 28.

$$\frac{241}{50}$$

Factor

$$\frac{241}{2 \cdot 5 ^ {2}} = 4\frac{41}{50} = 4.82$$