Answer

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**Hint:**

Let \[x:y\] be a ratio. This ratio can be converted into a fraction of form \[\dfrac{p}{q}\] where p and q are co primes by writing \[\dfrac{x}{y}\] and eliminating common terms. This ratio can be converted into a decimal by making the denominator of its fraction form into multiples of 10. This ratio can be converted into percent form by multiplying its decimal form with 100.

**Complete step by step answer:**

According to the question, the given ratio is \[44:50\]. That is here x=44 and y=50.

Now,

1) Conversion of a ratio into fraction: -

\[44:50\]is the given ratio. Let ‘a’ be a fraction form of \[44:50\]. Hence, we can write

a = \[\dfrac{44}{50}\].

Now, by factorization we write 44 as \[2\times 2\times 11\] and 50 as \[2\times 5\times 5\]. Here, we can see that 44 and 50 have 2 in common. So, on eliminating the common term we have

a = \[\dfrac{22}{25}\]. Hence, \[\dfrac{22}{25}\] is the fraction form of \[44:50\] ratio.

2) Conversion of a ratio into decimal: -

Here, we have the fraction form of \[44:50\] as \[\dfrac{22}{25}\]. Its denominator is 25.

We know that 25 multiplied by 4 gives 100 (which is multiple of 10). So, we multiply both numerator and denominator by 4, then we get \[\dfrac{22\times 4}{25\times 4}=\]\[\dfrac{88}{100}\] which is simply 0.88.

3) Conversion of ratio into a percent: -

In the previous conversion, we got that the decimal form of \[44:50\] ratio is 0.88.

So, on multiplying 0.88 with 100,\[0.88\times 100\] we get \[88\%\].

\[\therefore \]\[\dfrac{22}{25}\], 0.88 and \[88\%\] are the fraction form, decimal form and percentage form of the ratio \[44:50\] respectively.

**Note:**

We can do the conversion of a ratio into a decimal by simply dividing the numerator of its fraction form with the denominator. We can also do the conversion of a ratio into a percent by multiplying its fraction form by 100 and then simple division.

While calculating decimal form we must round the decimal part.

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