258/172 as a Decimal and Mixed Number

258/172 as a decimal and mixed number expansion provides the detailed information about what is 258/172 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/172 as a Decimal
258/172 = 1.5
Hence,
258/172 as a decimal equals to 1.5
where,
258/172 is a given fraction,
The decimal expansion of 258/172 is 1.5

258/172 as a Mixed Number
258/172 = (172 + 86)/172
= 172/172 + 86/172
= 1 + 86/172
= 1 86/172
258/172 = 1 86/172

Hence,
258/172 as a mixed number is 1 ⁸⁶/₁₇₂
where,
258/172 is a given fraction,
1 ⁸⁶/₁₇₂ is the mixed number representation of 258/172.

The below work with steps provide the detailed information about how to convert fraction 258/172 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/172

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/172.

step 2 The numerator is greater than the denominator of the fraction 258/172, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/172
= 172 + 86/172

step 3 Make the above expression as individual fractions:
= 172/172 + 86/172

step 4 Simplify the above expression:
= 1 x 172/172 + 86/172
= 1 + 86/172
= 1 + 1 x 86/2 x 86
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
258/172 = 1.5

Hence,
258/172 as a decimal is 1.5
258/172 as a mixed number is 1 ¹/₂