Solve the Fraction Division: 3/10 ÷ x = 1/2

Question

Fill in the missing part:

310: —=12 \frac{3}{10}:_{\text{ —}}=\frac{1}{2}

What is the missing number?

Video Solution

Step-by-Step Solution

To solve this problem, we'll expression the division problem as an equation:

310÷x=12 \frac{3}{10} \div x = \frac{1}{2}

This can be rewritten using multiplication:

310×1x=12 \frac{3}{10} \times \frac{1}{x} = \frac{1}{2}

To solve for x x , cross-multiply to clear the fractions:

3×2=10×1×x 3 \times 2 = 10 \times 1 \times x

6=10x 6 = 10x

Solve for x x by dividing both sides by 10:

x=610=35 x = \frac{6}{10} = \frac{3}{5}

Therefore, the missing number is 35\frac{3}{5}, which corresponds to choice 3.

Answer

35 \frac{3}{5}