300/258 as a Decimal and Mixed Number

300/258 as a decimal and mixed number expansion provides the detailed information about what is 300/258 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/258 as a Decimal
300/258 = 1.1628
Hence,
300/258 as a decimal equals to 1.1628
where,
300/258 is a given fraction,
The decimal expansion of 300/258 is 1.1628

300/258 as a Mixed Number
300/258 = (258 + 42)/258
= 258/258 + 42/258
= 1 + 42/258
= 1 42/258
300/258 = 1 42/258

Hence,
300/258 as a mixed number is 1 ⁴²/₂₅₈
where,
300/258 is a given fraction,
1 ⁴²/₂₅₈ is the mixed number representation of 300/258.

The below work with steps provide the detailed information about how to convert fraction 300/258 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/258

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/258.

step 2 The numerator is greater than the denominator of the fraction 300/258, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/258
= 258 + 42/258

step 3 Make the above expression as individual fractions:
= 258/258 + 42/258

step 4 Simplify the above expression:
= 1 x 258/258 + 42/258
= 1 + 42/258
= 1 + 7 x 6/43 x 6
= 1 + 7/43
1 + 7/43 can be written as a mixed number 1 ⁷/₄₃.


step 5 Find the decimal equivalent for the fractional part 7/43 in the above expression:
= 1 + 0.1628
= 1.1628
300/258 = 1.1628

Hence,
300/258 as a decimal is 1.1628
300/258 as a mixed number is 1 ⁷/₄₃