Divide Rational Numbers Worksheet

6 problems

To divide rational numbers, the reciprocal of the second fraction is multiplied by the first fraction. By switching the second fraction's numerator and denominator, the reciprocal can be obtained. If you can, simplify the resulting fraction. 

As an example, to divide `\frac{2}{3}` by  `\frac{4}{5}`.

`\frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12}`, which simplifies to `\frac{5}{6}`. As an example, to divide `\frac{2}{3}` by `\frac{4}{5}`.

Algebra 1
Algebra Foundations

How Will This Worksheet on "Divide Rational Numbers" Benefit Your Students' Learning?

`1`. The division of rational numbers helps the student to get the basic knowledge of fundamental mathematical concepts, fractions, decimal calculation, and arithmetic problems.

`2`. This Mathematics can help the student enhance critical thinking and analytical power. It helps to learn the division techniques to solve real-life mathematical problems.

`3`. It can help the student to solve highly complex mathematical concepts like algebra, geometry, statistics, etc.

`4`. It can boost students' confidence in solving mathematical problems, and strengthen them to solve mathematical challenges easily.

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Solved Example

Q. Divide. \newline58÷14=\frac{5}{8}\div\frac{1}{4}=_____
  1. Divide and Multiply: What is the multiplication form of 58÷14\frac{5}{8} \div \frac{1}{4}?\newlineDividing by a number is the same as multiplying by its reciprocal.\newline58÷14=58×41=(5×48×1)\frac{5}{8} \div \frac{1}{4} = \frac{5}{8} \times \frac{4}{1} = \left(\frac{5 \times 4}{8 \times 1}\right)=208= \frac{20}{8}
  2. Simplify Fraction: Simplify the fraction 208\frac{20}{8}. \newline208\frac{20}{8} can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 44. \newline20÷4=520 \div 4 = 5 \newline8÷4=28 \div 4 = 2 \newlineSo, 208\frac{20}{8} simplifies to 52\frac{5}{2}.

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