Solve the Fraction Division: 3/5 ÷ 3 Step-by-Step

Question

Solve the following exercise:

35:3=? \frac{3}{5}:3=\text{?}

Video Solution

Step-by-Step Solution

We need to solve the expression 35:3\frac{3}{5} : 3.

The division of a fraction by a whole number can be rewritten as the multiplication of the fraction by the reciprocal of the whole number.

The given problem transforms as follows:

35:3=35×13\frac{3}{5} : 3 = \frac{3}{5} \times \frac{1}{3}

Performing the multiplication, we multiply the numerators together and the denominators together:

3×15×3=315\frac{3 \times 1}{5 \times 3} = \frac{3}{15}

Now, simplify 315\frac{3}{15} by finding their greatest common divisor (GCD), which is 3:

3÷315÷3=15\frac{3 \div 3}{15 \div 3} = \frac{1}{5}

Thus, the answer to the division is 15\frac{1}{5}.

Therefore, the solution to the problem 35:3\frac{3}{5} : 3 is 15\frac{1}{5}, which corresponds to choice 4.

Answer

15 \frac{1}{5}