180/144 as a Decimal and Mixed Number

180/144 as a decimal and mixed number expansion provides the detailed information about what is 180/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/144 as a Decimal
180/144 = 1.25
Hence,
180/144 as a decimal equals to 1.25
where,
180/144 is a given fraction,
The decimal expansion of 180/144 is 1.25

180/144 as a Mixed Number
180/144 = (144 + 36)/144
= 144/144 + 36/144
= 1 + 36/144
= 1 36/144
180/144 = 1 36/144

Hence,
180/144 as a mixed number is 1 ³⁶/₁₄₄
where,
180/144 is a given fraction,
1 ³⁶/₁₄₄ is the mixed number representation of 180/144.

The below work with steps provide the detailed information about how to convert fraction 180/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/144.

step 2 The numerator is greater than the denominator of the fraction 180/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/144
= 144 + 36/144

step 3 Make the above expression as individual fractions:
= 144/144 + 36/144

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


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/4 x 25/25)
= 1 + 25/100

step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
180/144 = 1.25

Hence,
180/144 as a decimal is 1.25
180/144 as a mixed number is 1 ¹/₄