252/48 as a decimal and mixed number expansion provides the detailed information about what is 252/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
252/48 as a Decimal
252/48 = 5.25
Hence,
252/48 as a decimal equals to 5.25
where,
252/48 is a given fraction,
The decimal expansion of 252/48 is 5.25
252/48 as a Mixed Number
252/48 = (240 + 12)/48
= 240/48 + 12/48
= 5 + 12/48
= 5 12/48
252/48 = 5 12/48
Hence,
252/48 as a mixed number is 5 12/48
where,
252/48 is a given fraction,
5 12/48 is the mixed number representation of 252/48.
The below work with steps provide the detailed information about how to convert fraction 252/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 252/48
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 252/48.
step 2 The numerator is greater than the denominator of the fraction 252/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 252/48
= 240 + 12/48
= (5 x 48) + 12/48
step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 12/48
step 4 Simplify the above expression:
= 5 x 48/48 + 12/48
= 5 + 12/48
= 5 + 1 x 12/4 x 12
= 5 + 1/4
5 + 1/4 can be written as a mixed number 5 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 5 + (1/4 x 25/25)
= 5 + 25/100
step 6 Simplify the above expression further:
= 5 + 0.25
= 5.25
252/48 = 5.25
Hence,
252/48 as a decimal is 5.25
252/48 as a mixed number is 5 1/4