75/55 as a Decimal and Mixed Number

75/55 as a decimal and mixed number expansion provides the detailed information about what is 75/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/55 as a Decimal
75/55 = 1.3636
Hence,
75/55 as a decimal equals to 1.3636
where,
75/55 is a given fraction,
The decimal expansion of 75/55 is 1.3636

75/55 as a Mixed Number
75/55 = (55 + 20)/55
= 55/55 + 20/55
= 1 + 20/55
= 1 20/55
75/55 = 1 20/55

Hence,
75/55 as a mixed number is 1 ²⁰/₅₅
where,
75/55 is a given fraction,
1 ²⁰/₅₅ is the mixed number representation of 75/55.

The below work with steps provide the detailed information about how to convert fraction 75/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/55.

step 2 The numerator is greater than the denominator of the fraction 75/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/55
= 55 + 20/55

step 3 Make the above expression as individual fractions:
= 55/55 + 20/55

step 4 Simplify the above expression:
= 1 x 55/55 + 20/55
= 1 + 20/55
= 1 + 4 x 5/11 x 5
= 1 + 4/11
1 + 4/11 can be written as a mixed number 1 ⁴/₁₁.


step 5 Find the decimal equivalent for the fractional part 4/11 in the above expression:
= 1 + 0.3636
= 1.3636
75/55 = 1.3636

Hence,
75/55 as a decimal is 1.3636
75/55 as a mixed number is 1 ⁴/₁₁