55/34 as a Decimal and Mixed Number

55/34 as a decimal and mixed number expansion provides the detailed information about what is 55/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

55/34 as a Decimal
55/34 = 1.6176
Hence,
55/34 as a decimal equals to 1.6176
where,
55/34 is a given fraction,
The decimal expansion of 55/34 is 1.6176

55/34 as a Mixed Number
55/34 = (34 + 21)/34
= 34/34 + 21/34
= 1 + 21/34
= 1 21/34
55/34 = 1 21/34

Hence,
55/34 as a mixed number is 1 ²¹/₃₄
where,
55/34 is a given fraction,
1 ²¹/₃₄ is the mixed number representation of 55/34.

The below work with steps provide the detailed information about how to convert fraction 55/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 55/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 55/34.

step 2 The numerator is greater than the denominator of the fraction 55/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 55/34
= 34 + 21/34

step 3 Make the above expression as individual fractions:
= 34/34 + 21/34

step 4 Simplify the above expression:
= 1 x 34/34 + 21/34
= 1 + 21/34
1 + 21/34 can be written as a mixed number 1 ²¹/₃₄.


step 5 Find the decimal equivalent for the fractional part 21/34 in the above expression:
= 1 + 0.6176
= 1.6176
55/34 = 1.6176

Hence,
55/34 as a decimal is 1.6176
55/34 as a mixed number is 1 ²¹/₃₄