258/72 as a Decimal and Mixed Number

258/72 as a decimal and mixed number expansion provides the detailed information about what is 258/72 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/72 as a Decimal
258/72 = 3.5833
Hence,
258/72 as a decimal equals to 3.5833
where,
258/72 is a given fraction,
The decimal expansion of 258/72 is 3.5833

258/72 as a Mixed Number
258/72 = (216 + 42)/72
= 216/72 + 42/72
= 3 + 42/72
= 3 42/72
258/72 = 3 42/72

Hence,
258/72 as a mixed number is 3 ⁴²/₇₂
where,
258/72 is a given fraction,
3 ⁴²/₇₂ is the mixed number representation of 258/72.

The below work with steps provide the detailed information about how to convert fraction 258/72 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/72

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/72.

step 2 The numerator is greater than the denominator of the fraction 258/72, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/72
= 216 + 42/72
= (3 x 72) + 42/72

step 3 Make the above expression as individual fractions:
= (3 x 72)/72 + 42/72

step 4 Simplify the above expression:
= 3 x 72/72 + 42/72
= 3 + 42/72
= 3 + 7 x 6/12 x 6
= 3 + 7/12
3 + 7/12 can be written as a mixed number 3 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 3 + 0.5833
= 3.5833
258/72 = 3.5833

Hence,
258/72 as a decimal is 3.5833
258/72 as a mixed number is 3 ⁷/₁₂