9/4 as a decimal and mixed number expansion provides the detailed information about what is 9/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**9/4 as a Decimal Expansion**

9/4 = 2.25

Hence,

9/4 as a decimal equals to **2.25**

__where,__

9/4 is a given fraction,

The decimal expansion of 9/4 is 2.25

**9/4 as a Mixed Number**

9/4 = (8 + 1)/4

= 8/4 + 1/4

= 2 + 1/4

= 2 1/4

9/4 = 2 1/4

Hence,

9/4 as a mixed number is **2 ^{1}/_{4}**

9/4 is a given fraction,

2

The below work with steps provide the detailed information about how to convert fraction 9/4 as a decimal equivalent.

step 1 Address the input parameters and observe what to be found:__Input values:__

The fraction = 9/4__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 9/4.

step 2 The numerator is greater than the denominator of the fraction 9/4, so write the given fraction in the expression form in terms of denominator as like the below:

= 9/4

= 8 + 1/4

= (2 x 4) + 1/4

step 3 Make the above expression as individual fractions:

= (2 x 4)/4 + 1/4

step 4 Simplify the above expression:

= 2 x 4/4 + 1/4

= 2 + 1/4

2 + 1/4 can be written as a mixed number 2 ^{1}/_{4}.

step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:

Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/4.

= 2 + (1/4 x 10/10)

step 6 Simplify the above expression further:

= 2 + (10/4 x 1/10)

= 2 + (8 + 2/4 x 1/10)

= 2 + [(8/4 + 2/4 ) x 1/10]

= 2 + [(2 + 2/4) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/4 in the above expression:

= 2 + [(2 + 2/4) x 1/10]

= 2 + [(2 + 0.5) x 1/10]

= 2 + (2.5 x 1/10)

= 2 + 2.5/10

= 2 + 0.25

step 8 Find the sum of above expression:

= 2 + 0.25

= 2.25

9/4 = 2.25

Hence,

9/4 as a decimal is 2.25

9/4 as a mixed number is 2 ^{1}/_{4}