154/72 as a Decimal and Mixed Number

154/72 as a decimal and mixed number expansion provides the detailed information about what is 154/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

154/72 as a Decimal
154/72 = 2.1389
Hence,
154/72 as a decimal equals to 2.1389
where,
154/72 is a given fraction,
The decimal expansion of 154/72 is 2.1389

154/72 as a Mixed Number
154/72 = (144 + 10)/72
= 144/72 + 10/72
= 2 + 10/72
= 2 10/72
154/72 = 2 10/72

Hence,
154/72 as a mixed number is 2 ¹⁰/₇₂
where,
154/72 is a given fraction,
2 ¹⁰/₇₂ is the mixed number representation of 154/72.

The below work with steps provide the detailed information about how to convert fraction 154/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 154/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 154/72.

step 2 The numerator is greater than the denominator of the fraction 154/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 154/72
= 144 + 10/72
= (2 x 72) + 10/72

step 3 Make the above expression as individual fractions:
= (2 x 72)/72 + 10/72

step 4 Simplify the above expression:
= 2 x 72/72 + 10/72
= 2 + 10/72
= 2 + 5 x 2/36 x 2
= 2 + 5/36
2 + 5/36 can be written as a mixed number 2 ⁵/₃₆.


step 5 Find the decimal equivalent for the fractional part 5/36 in the above expression:
= 2 + 0.1389
= 2.1389
154/72 = 2.1389

Hence,
154/72 as a decimal is 2.1389
154/72 as a mixed number is 2 ⁵/₃₆