172/144 as a Decimal and Mixed Number

172/144 as a decimal and mixed number expansion provides the detailed information about what is 172/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

172/144 as a Decimal
172/144 = 1.1944
Hence,
172/144 as a decimal equals to 1.1944
where,
172/144 is a given fraction,
The decimal expansion of 172/144 is 1.1944

172/144 as a Mixed Number
172/144 = (144 + 28)/144
= 144/144 + 28/144
= 1 + 28/144
= 1 28/144
172/144 = 1 28/144

Hence,
172/144 as a mixed number is 1 ²⁸/₁₄₄
where,
172/144 is a given fraction,
1 ²⁸/₁₄₄ is the mixed number representation of 172/144.

The below work with steps provide the detailed information about how to convert fraction 172/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 172/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 172/144.

step 2 The numerator is greater than the denominator of the fraction 172/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 172/144
= 144 + 28/144

step 3 Make the above expression as individual fractions:
= 144/144 + 28/144

step 4 Simplify the above expression:
= 1 x 144/144 + 28/144
= 1 + 28/144
= 1 + 7 x 4/36 x 4
= 1 + 7/36
1 + 7/36 can be written as a mixed number 1 ⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 7/36 in the above expression:
= 1 + 0.1944
= 1.1944
172/144 = 1.1944

Hence,
172/144 as a decimal is 1.1944
172/144 as a mixed number is 1 ⁷/₃₆