15/4 as a decimal and mixed number expansion provides the detailed information about what is 15/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.**15/4 as a Decimal Expansion**

15/4 = 3.75

Hence,

15/4 as a decimal equals to **3.75**

__where,__

15/4 is a given fraction,

The decimal expansion of 15/4 is 3.75

**15/4 as a Mixed Number**

15/4 = (12 + 3)/4

= 12/4 + 3/4

= 3 + 3/4

= 3 3/4

15/4 = 3 3/4

Hence,

15/4 as a mixed number is **3 ^{3}/_{4}**

15/4 is a given fraction,

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The below work with steps provide the detailed information about how to convert fraction 15/4 as a decimal equivalent.

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

The fraction = 15/4__What to be found:__

Find the equivalent decimal expansion and mixed number for fraction 15/4.

step 2 The numerator is greater than the denominator of the fraction 15/4, so write the given fraction in the expression form in terms of denominator as like the below:

= 15/4

= 12 + 3/4

= (3 x 4) + 3/4

step 3 Make the above expression as individual fractions:

= (3 x 4)/4 + 3/4

step 4 Simplify the above expression:

= 3 x 4/4 + 3/4

= 3 + 3/4

3 + 3/4 can be written as a mixed number 3 ^{3}/_{4}.

step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:

Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/4.

= 3 + (3/4 x 10/10)

step 6 Simplify the above expression further:

= 3 + (30/4 x 1/10)

= 3 + (28 + 2/4 x 1/10)

= 3 + [(28/4 + 2/4 ) x 1/10]

= 3 + [(7 + 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:

= 3 + [(7 + 2/4) x 1/10]

= 3 + [(7 + 0.5) x 1/10]

= 3 + (7.5 x 1/10)

= 3 + 7.5/10

= 3 + 0.75

step 8 Find the sum of above expression:

= 3 + 0.75

= 3.75

15/4 = 3.75

Hence,

15/4 as a decimal is 3.75

15/4 as a mixed number is 3 ^{3}/_{4}