55/48 as a Decimal and Mixed Number

55/48 as a decimal and mixed number expansion provides the detailed information about what is 55/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

55/48 as a Decimal
55/48 = 1.1458
Hence,
55/48 as a decimal equals to 1.1458
where,
55/48 is a given fraction,
The decimal expansion of 55/48 is 1.1458

55/48 as a Mixed Number
55/48 = (48 + 7)/48
= 48/48 + 7/48
= 1 + 7/48
= 1 7/48
55/48 = 1 7/48

Hence,
55/48 as a mixed number is 1 ⁷/₄₈
where,
55/48 is a given fraction,
1 ⁷/₄₈ is the mixed number representation of 55/48.

The below work with steps provide the detailed information about how to convert fraction 55/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 55/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 55/48.

step 2 The numerator is greater than the denominator of the fraction 55/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 55/48
= 48 + 7/48

step 3 Make the above expression as individual fractions:
= 48/48 + 7/48

step 4 Simplify the above expression:
= 1 x 48/48 + 7/48
= 1 + 7/48
1 + 7/48 can be written as a mixed number 1 ⁷/₄₈.


step 5 Find the decimal equivalent for the fractional part 7/48 in the above expression:
= 1 + 0.1458
= 1.1458
55/48 = 1.1458

Hence,
55/48 as a decimal is 1.1458
55/48 as a mixed number is 1 ⁷/₄₈