186/155 as a Decimal and Mixed Number

186/155 as a decimal and mixed number expansion provides the detailed information about what is 186/155 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

186/155 as a Decimal
186/155 = 1.2
Hence,
186/155 as a decimal equals to 1.2
where,
186/155 is a given fraction,
The decimal expansion of 186/155 is 1.2

186/155 as a Mixed Number
186/155 = (155 + 31)/155
= 155/155 + 31/155
= 1 + 31/155
= 1 31/155
186/155 = 1 31/155

Hence,
186/155 as a mixed number is 1 ³¹/₁₅₅
where,
186/155 is a given fraction,
1 ³¹/₁₅₅ is the mixed number representation of 186/155.

The below work with steps provide the detailed information about how to convert fraction 186/155 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 186/155

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 186/155.

step 2 The numerator is greater than the denominator of the fraction 186/155, so write the given fraction in the expression form in terms of denominator as like the below:
= 186/155
= 155 + 31/155

step 3 Make the above expression as individual fractions:
= 155/155 + 31/155

step 4 Simplify the above expression:
= 1 x 155/155 + 31/155
= 1 + 31/155
= 1 + 1 x 31/5 x 31
= 1 + 1/5
1 + 1/5 can be written as a mixed number 1 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (1/5 x 2/2)
= 1 + 2/10

step 6 Simplify the above expression further:
= 1 + 0.2
= 1.2
186/155 = 1.2

Hence,
186/155 as a decimal is 1.2
186/155 as a mixed number is 1 ¹/₅