Question

Reduce the following rational numbers to their standard form:
a) −45/90 b) 26/-39

Answer 1

SOLUTION

TO DETERMINE

Reduce the following rational numbers to their standard form:

$\displaystyle \sf{a) \: \: \: \frac{ - 45}{90} }$

$\displaystyle \sf{b) \: \: \: \frac{26}{ - 39} }$

EVALUATION

ANSWER TO QUESTION (a)

Here the given rational number is

$\displaystyle \sf{ \frac{ - 45}{90} }$

45 = 3 × 3 × 5

90 = 2 × 3 × 3 × 5

So common factor of the numerator and denominator is 45

So Dividing both of the numerator and denominator by 45 we get

$\displaystyle \sf{ \frac{ - 45}{90} }$

$\displaystyle \sf{ = - \frac{ 45}{90} }$

$\displaystyle \sf{ = - \frac{ 1}{2} }$

ANSWER TO QUESTION (b)

Here the given number is

$\displaystyle \sf{ \frac{26}{ - 39} }$

26 = 2 × 13

39 = 3 × 13

So common factor of the numerator and denominator is 13

So Dividing both of the numerator and denominator by 13 we get

$\displaystyle \sf{ \frac{26}{ - 39} }$

$\displaystyle \sf{ = - \frac{26}{ 39} }$

$\displaystyle \sf{ = - \frac{2}{ 3} }$

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