Examples with solutions for Division of Fractions: Solving the problem

Exercise #1

0.54= \frac{0.5}{4}=

Video Solution

Step-by-Step Solution

Let's convert the decimal fraction to a simple fraction:

0.54=124 \frac{0.5}{4}=\frac{\frac{1}{2}}{4}

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

We'll multiply 12 \frac{1}{2} by the reciprocal of 4 as follows:

12×14 \frac{1}{2}\times\frac{1}{4}

We'll solve it as follows:

1×12×4=18 \frac{1\times1}{2\times4}=\frac{1}{8}

Answer

18 \frac{1}{8}

Exercise #2

0.52= \frac{0.5}{2}=

Video Solution

Step-by-Step Solution

Let's convert the decimal fraction to a simple fraction:

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

We'll write the division problem as follows:

5102 \frac{\frac{5}{10}}{2}

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

We'll multiply 510 \frac{5}{10} by the reciprocal of 2 2 as follows:

510×12 \frac{5}{10}\times\frac{1}{2}

We'll solve it this way:

5×110×2=520 \frac{5\times1}{10\times2}=\frac{5}{20}

We'll reduce both the numerator and denominator by 5 and get:

5:520:5=14 \frac{5:5}{20:5}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #3

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}