Name: Rational Number in the Lowest Form
Uploaded: 2019-07-19
Duration: 7 min 19 s
Description: What is a rational number in its standard form? Let's watch this video and understand the criteria for a rational number to be in its standard form.

Question

Arrange the following rational numbers in descending order

$\frac{- 3}{10}, \frac{17}{- 30}, \frac{7}{- 15}, \frac{- 11}{20}$

Accepted Answer

Given, $\frac{- 3}{10}, \frac{17}{- 30}, \frac{7}{- 15}, \frac{- 11}{20}$

The LCM of $10, 30, 15$ and $20$ is $60$

Multiplying the numerators and denominators to get the denominator equal to the LCM

that is $60$

Consider $(\frac{- 3}{10})$

Multiply both numerator and denominator by $60 \div 10 = 6$ , then we get

$(\frac{- 3}{10}) \times (\frac{6}{6}) = (\frac{- 18}{60}) \dots . . (1)$

Consider $(\frac{17}{- 30})$

Multiply both numerator and denominator by $60 \div 30 = 2$ , then we get

$(\frac{- 17}{30}) \times (\frac{2}{2}) = (\frac{- 34}{60}) \dots \dots (2)$

Consider $(\frac{7}{- 15})$

Multiply both numerator and denominator by $60 \div 15 = 4$ , then we get

$(\frac{- 7}{15}) \times (\frac{4}{4}) = (\frac{- 28}{60}) \dots . . (3)$

Consider $\frac{- 11}{20}$

Multiply both numerator and denominator by $60 \div 20 = 3$ , then we get

$(\frac{- 11}{20}) \times (\frac{3}{3}) = (\frac{- 33}{60}) \dots . . (4)$

In the above equation, denominators are same

$(\frac{- 18}{60}) > (\frac{- 28}{60}) > (\frac{- 33}{60}) > (\frac{- 34}{60}) .$

Now on comparing the descending order is:

$(\frac{- 3}{10}) > (\frac{7}{- 15}) > (\frac{- 11}{20}) > (\frac{17}{- 30})$

Arrange the following rational numbers in descending order

$\frac{- 3}{10}, \frac{17}{- 30}, \frac{7}{- 15}, \frac{- 11}{20}$

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Arrange the following rational numbers in descending order -310,17-30,7-15,-1120

Important Questions on Rational Numbers

Learn and Prepare for any exam you want !

Arrange the following rational numbers in descending order

$\frac{- 3}{10}, \frac{17}{- 30}, \frac{7}{- 15}, \frac{- 11}{20}$