55/24 as a decimal and mixed number expansion provides the detailed information about what is 55/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
55/24 as a Decimal
55/24 = 2.2917
Hence,
55/24 as a decimal equals to 2.2917
where,
55/24 is a given fraction,
The decimal expansion of 55/24 is 2.2917
55/24 as a Mixed Number
55/24 = (48 + 7)/24
= 48/24 + 7/24
= 2 + 7/24
= 2 7/24
55/24 = 2 7/24
Hence,
55/24 as a mixed number is 2 7/24
where,
55/24 is a given fraction,
2 7/24 is the mixed number representation of 55/24.
The below work with steps provide the detailed information about how to convert fraction 55/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 55/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 55/24.
step 2 The numerator is greater than the denominator of the fraction 55/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 55/24
= 48 + 7/24
= (2 x 24) + 7/24
step 3 Make the above expression as individual fractions:
= (2 x 24)/24 + 7/24
step 4 Simplify the above expression:
= 2 x 24/24 + 7/24
= 2 + 7/24
2 + 7/24 can be written as a mixed number 2 7/24.
step 5 Find the decimal equivalent for the fractional part 7/24 in the above expression:
= 2 + 0.2917
= 2.2917
55/24 = 2.2917
Hence,
55/24 as a decimal is 2.2917
55/24 as a mixed number is 2 7/24