51/48 as a Decimal and Mixed Number

51/48 as a decimal and mixed number expansion provides the detailed information about what is 51/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

51/48 as a Decimal
51/48 = 1.0625
Hence,
51/48 as a decimal equals to 1.0625
where,
51/48 is a given fraction,
The decimal expansion of 51/48 is 1.0625

51/48 as a Mixed Number
51/48 = (48 + 3)/48
= 48/48 + 3/48
= 1 + 3/48
= 1 3/48
51/48 = 1 3/48

Hence,
51/48 as a mixed number is 1 ³/₄₈
where,
51/48 is a given fraction,
1 ³/₄₈ is the mixed number representation of 51/48.

The below work with steps provide the detailed information about how to convert fraction 51/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 51/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 51/48.

step 2 The numerator is greater than the denominator of the fraction 51/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 51/48
= 48 + 3/48

step 3 Make the above expression as individual fractions:
= 48/48 + 3/48

step 4 Simplify the above expression:
= 1 x 48/48 + 3/48
= 1 + 3/48
= 1 + 1 x 3/16 x 3
= 1 + 1/16
1 + 1/16 can be written as a mixed number 1 ¹/₁₆.


step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (1/16 x 625/625)
= 1 + 625/10000

step 6 Simplify the above expression further:
= 1 + 0.0625
= 1.0625
51/48 = 1.0625

Hence,
51/48 as a decimal is 1.0625
51/48 as a mixed number is 1 ¹/₁₆