105/72 as a Decimal and Mixed Number

105/72 as a decimal and mixed number expansion provides the detailed information about what is 105/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

105/72 as a Decimal
105/72 = 1.4583
Hence,
105/72 as a decimal equals to 1.4583
where,
105/72 is a given fraction,
The decimal expansion of 105/72 is 1.4583

105/72 as a Mixed Number
105/72 = (72 + 33)/72
= 72/72 + 33/72
= 1 + 33/72
= 1 33/72
105/72 = 1 33/72

Hence,
105/72 as a mixed number is 1 ³³/₇₂
where,
105/72 is a given fraction,
1 ³³/₇₂ is the mixed number representation of 105/72.

The below work with steps provide the detailed information about how to convert fraction 105/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 105/72.

step 2 The numerator is greater than the denominator of the fraction 105/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 105/72
= 72 + 33/72

step 3 Make the above expression as individual fractions:
= 72/72 + 33/72

step 4 Simplify the above expression:
= 1 x 72/72 + 33/72
= 1 + 33/72
= 1 + 11 x 3/24 x 3
= 1 + 11/24
1 + 11/24 can be written as a mixed number 1 ¹¹/₂₄.


step 5 Find the decimal equivalent for the fractional part 11/24 in the above expression:
= 1 + 0.4583
= 1.4583
105/72 = 1.4583

Hence,
105/72 as a decimal is 1.4583
105/72 as a mixed number is 1 ¹¹/₂₄