54/24 as a decimal and mixed number expansion provides the detailed information about what is 54/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
54/24 as a Decimal
54/24 = 2.25
Hence,
54/24 as a decimal equals to 2.25
where,
54/24 is a given fraction,
The decimal expansion of 54/24 is 2.25
54/24 as a Mixed Number
54/24 = (48 + 6)/24
= 48/24 + 6/24
= 2 + 6/24
= 2 6/24
54/24 = 2 6/24
Hence,
54/24 as a mixed number is 2 6/24
where,
54/24 is a given fraction,
2 6/24 is the mixed number representation of 54/24.
The below work with steps provide the detailed information about how to convert fraction 54/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 54/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 54/24.
step 2 The numerator is greater than the denominator of the fraction 54/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 54/24
= 48 + 6/24
= (2 x 24) + 6/24
step 3 Make the above expression as individual fractions:
= (2 x 24)/24 + 6/24
step 4 Simplify the above expression:
= 2 x 24/24 + 6/24
= 2 + 6/24
= 2 + 1 x 6/4 x 6
= 2 + 1/4
2 + 1/4 can be written as a mixed number 2 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:
= 2 + (1/4 x 25/25)
= 2 + 25/100
step 6 Simplify the above expression further:
= 2 + 0.25
= 2.25
54/24 = 2.25
Hence,
54/24 as a decimal is 2.25
54/24 as a mixed number is 2 1/4