205/150 as a Decimal and Mixed Number

205/150 as a decimal and mixed number expansion provides the detailed information about what is 205/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

205/150 as a Decimal
205/150 = 1.3667
Hence,
205/150 as a decimal equals to 1.3667
where,
205/150 is a given fraction,
The decimal expansion of 205/150 is 1.3667

205/150 as a Mixed Number
205/150 = (150 + 55)/150
= 150/150 + 55/150
= 1 + 55/150
= 1 55/150
205/150 = 1 55/150

Hence,
205/150 as a mixed number is 1 ⁵⁵/₁₅₀
where,
205/150 is a given fraction,
1 ⁵⁵/₁₅₀ is the mixed number representation of 205/150.

The below work with steps provide the detailed information about how to convert fraction 205/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 205/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 205/150.

step 2 The numerator is greater than the denominator of the fraction 205/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 205/150
= 150 + 55/150

step 3 Make the above expression as individual fractions:
= 150/150 + 55/150

step 4 Simplify the above expression:
= 1 x 150/150 + 55/150
= 1 + 55/150
= 1 + 11 x 5/30 x 5
= 1 + 11/30
1 + 11/30 can be written as a mixed number 1 ¹¹/₃₀.


step 5 Find the decimal equivalent for the fractional part 11/30 in the above expression:
= 1 + 0.3667
= 1.3667
205/150 = 1.3667

Hence,
205/150 as a decimal is 1.3667
205/150 as a mixed number is 1 ¹¹/₃₀