Question

Which fraction is equal to 4.4?
A. $\dfrac{4}{{10}}$
B. $\dfrac{{44}}{{10}}$
C. $\dfrac{4}{{100}}$
D. $\dfrac{{44}}{{100}}$

Answer 1

Hint:
We will use the method of decimal shifting. According to the method of decimal shifting, if a number is divided by a 10, 100, 1000, or similar number, which has trailing zeros at the end, the decimal is shifted towards left and the number of left shifts is equal to the number of trailing zeroes.

Complete step by step solution:
According to the question, we will evaluate all the fractions to decimals using the decimal shifting method.
Option A: $\dfrac{4}{{10}}$
The number in the numerator is 4.0,
The number in the denominator is 10, Hence the number of trailing zeroes is 1
Therefore we will shift the decimal towards left by one place,
Now, shifting the decimal in the numerator by one place, we get
 $ \Rightarrow \dfrac{4}{{10}} = 0.4$ … (1)

Option B: $\dfrac{{44}}{{10}}$
The number in the numerator is 44.0,
The number in the denominator is 10, Hence the number of trailing zeroes is 1
Therefore we will shift the decimal towards left by one place,
Now, shifting the decimal in the numerator by one place, we get
 $ \Rightarrow \dfrac{{44}}{{10}} = 4.4$ … (2)
Option C: $\dfrac{4}{{100}}$
The number in the numerator is 4.0,
The number in the denominator is 100, Hence the number of trailing zeroes is 2
Therefore we will shift the decimal towards left by two places,
Now, shifting the decimal in the numerator by one place, we get
 $ \Rightarrow \dfrac{4}{{100}} = 0.04$ … (3)

Option D: $\dfrac{{44}}{{100}}$
The number in the numerator is 44.0,
The number in the denominator is 100, Hence the number of trailing zeroes is 2
Therefore we will shift the decimal towards left by two places,
Now, shifting the decimal in the numerator by one place, we get
 $ \Rightarrow \dfrac{{44}}{{100}} = 0.44$ … (4)

Hence, observing (1), (2), (3), and (4), we get
We get that Option B Matches with the given Decimal.

Hence option B is correct.

Note:
We should know that every integer has a decimal part which is hidden, all the integers have a decimal at the extreme right end of the integer. The decimal shifting is also for multiplication, where the decimal shifts are done towards the right and the number of shifts is equal to the number of trailing zeroes in the denominator.