25/4 as a decimal and mixed number expansion provides the detailed information about what is 25/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**25/4 as a Decimal Expansion**

25/4 = 6.25

Hence,

25/4 as a decimal equals to **6.25**

__where,__

25/4 is a given fraction,

The decimal expansion of 25/4 is 6.25

**25/4 as a Mixed Number**

25/4 = (24 + 1)/4

= 24/4 + 1/4

= 6 + 1/4

= 6 1/4

25/4 = 6 1/4

Hence,

25/4 as a mixed number is **6 ^{1}/_{4}**

25/4 is a given fraction,

6

The below work with steps provide the detailed information about how to convert fraction 25/4 as a decimal equivalent.

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

The fraction = 25/4__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 25/4.

step 2 The numerator is greater than the denominator of the fraction 25/4, so write the given fraction in the expression form in terms of denominator as like the below:

= 25/4

= 24 + 1/4

= (6 x 4) + 1/4

step 3 Make the above expression as individual fractions:

= (6 x 4)/4 + 1/4

step 4 Simplify the above expression:

= 6 x 4/4 + 1/4

= 6 + 1/4

6 + 1/4 can be written as a mixed number 6 ^{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.

= 6 + (1/4 x 10/10)

step 6 Simplify the above expression further:

= 6 + (10/4 x 1/10)

= 6 + (8 + 2/4 x 1/10)

= 6 + [(8/4 + 2/4 ) x 1/10]

= 6 + [(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:

= 6 + [(2 + 2/4) x 1/10]

= 6 + [(2 + 0.5) x 1/10]

= 6 + (2.5 x 1/10)

= 6 + 2.5/10

= 6 + 0.25

step 8 Find the sum of above expression:

= 6 + 0.25

= 6.25

25/4 = 6.25

Hence,

25/4 as a decimal is 6.25

25/4 as a mixed number is 6 ^{1}/_{4}