258/150 as a Decimal and Mixed Number

258/150 as a decimal and mixed number expansion provides the detailed information about what is 258/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/150 as a Decimal
258/150 = 1.72
Hence,
258/150 as a decimal equals to 1.72
where,
258/150 is a given fraction,
The decimal expansion of 258/150 is 1.72

258/150 as a Mixed Number
258/150 = (150 + 108)/150
= 150/150 + 108/150
= 1 + 108/150
= 1 108/150
258/150 = 1 108/150

Hence,
258/150 as a mixed number is 1 ¹⁰⁸/₁₅₀
where,
258/150 is a given fraction,
1 ¹⁰⁸/₁₅₀ is the mixed number representation of 258/150.

The below work with steps provide the detailed information about how to convert fraction 258/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/150.

step 2 The numerator is greater than the denominator of the fraction 258/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/150
= 150 + 108/150

step 3 Make the above expression as individual fractions:
= 150/150 + 108/150

step 4 Simplify the above expression:
= 1 x 150/150 + 108/150
= 1 + 108/150
= 1 + 18 x 6/25 x 6
= 1 + 18/25
1 + 18/25 can be written as a mixed number 1 ¹⁸/₂₅.


step 5 Find the decimal equivalent for the fractional part 18/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (18/25 x 4/4)
= 1 + 72/100

step 6 Simplify the above expression further:
= 1 + 0.72
= 1.72
258/150 = 1.72

Hence,
258/150 as a decimal is 1.72
258/150 as a mixed number is 1 ¹⁸/₂₅