Solve Decimal Division: 0.3 ÷ 0.5 Step by Step

Question

0.30.5= \frac{0.3}{0.5}=

Video Solution

Step-by-Step Solution

Let's convert the decimal fractions to simple fractions:

0.3=310 0.3=\frac{3}{10}

0.5=510 0.5=\frac{5}{10}

We'll write the division problem as follows:

310510 \frac{\frac{3}{10}}{\frac{5}{10}}

Let's convert the division problem to a multiplication problem.

We'll multiply 310 \frac{3}{10} by the reciprocal of 510 \frac{5}{10} as follows:

310×105 \frac{3}{10}\times\frac{10}{5}

We'll solve it this way:

3×1010×5 \frac{3\times10}{10\times5}

We'll cancel out the 10 in the numerator with the 10 in the denominator and get:

35 \frac{3}{5}

Answer

35 \frac{3}{5}