75/16 as a Decimal and Mixed Number

75/16 as a decimal and mixed number expansion provides the detailed information about what is 75/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/16 as a Decimal
75/16 = 4.6875
Hence,
75/16 as a decimal equals to 4.6875
where,
75/16 is a given fraction,
The decimal expansion of 75/16 is 4.6875

75/16 as a Mixed Number
75/16 = (64 + 11)/16
= 64/16 + 11/16
= 4 + 11/16
= 4 11/16
75/16 = 4 11/16

Hence,
75/16 as a mixed number is 4 ¹¹/₁₆
where,
75/16 is a given fraction,
4 ¹¹/₁₆ is the mixed number representation of 75/16.

The below work with steps provide the detailed information about how to convert fraction 75/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/16.

step 2 The numerator is greater than the denominator of the fraction 75/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/16
= 64 + 11/16
= (4 x 16) + 11/16

step 3 Make the above expression as individual fractions:
= (4 x 16)/16 + 11/16

step 4 Simplify the above expression:
= 4 x 16/16 + 11/16
= 4 + 11/16
4 + 11/16 can be written as a mixed number 4 ¹¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 11/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 4 + (11/16 x 625/625)
= 4 + 6875/10000

step 6 Simplify the above expression further:
= 4 + 0.6875
= 4.6875
75/16 = 4.6875

Hence,
75/16 as a decimal is 4.6875
75/16 as a mixed number is 4 ¹¹/₁₆