Question

Write the fraction in which:
Numerator = \[5\] and denominator = \[13\]
Denominator = \[23\] and numerator = \[17\]
A.\[(i)\dfrac{{23}}{{17}},\;(ii)\dfrac{5}{{13}}\]
B.\[(i)\dfrac{5}{{13}},\;(ii)\dfrac{{17}}{{23}}\]
C.\[(i)\dfrac{{17}}{{23}},\;(ii)\dfrac{5}{{13}}\]
D.\[(i)\dfrac{{13}}{5},\;(ii)\dfrac{{23}}{{17}}\]

Answer 1

Hint: Here, in the question, we have been given values for numerators and denominators and we are asked to write them into the form of fraction. We will first understand the meaning of numerator and denominator and then finally write them into fraction as required.

Complete step-by-step answer:
Numerator is a number which we write above the fraction bar. It represents the number of parts taken out of the whole.
Denominator is a number which we write below the fraction bar. It represents the whole from which number of parts has to be taken.
Therefore, from both the definitions, we can say that fraction represents the number of parts taken out of whole and is represented in the form of \[\dfrac{a}{b}\], where \[a\] is the numerator and \[b\] is the denominator.
Now, as we know the meaning of numerator, denominator and fraction, let’s write the given numbers in fraction.
When Numerator = \[5\] and denominator = \[13\],
Fraction: \[\dfrac{5}{{13}}\]
When Denominator = \[23\] and numerator = \[17\]
Fraction: \[\dfrac{{17}}{{23}}\]
Hence, the final answer is option B. \[(i)\dfrac{5}{{13}},\;(ii)\dfrac{{17}}{{23}}\]
So, the correct answer is “Option B”.

Note: Fraction, in simple words, is the ratio of two numbers. Broadly, there are three types of fractions in mathematics: proper fraction (when numerator denominator) and mixed fraction. Mixed fraction is basically another form to write improper fraction. Like \[\dfrac{9}{4}\] is an improper fraction. But we can write the same fraction as \[2\dfrac{1}{4}\] in a mixed fraction.