300/295 as a Decimal and Mixed Number

300/295 as a decimal and mixed number expansion provides the detailed information about what is 300/295 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/295 as a Decimal
300/295 = 1.0169
Hence,
300/295 as a decimal equals to 1.0169
where,
300/295 is a given fraction,
The decimal expansion of 300/295 is 1.0169

300/295 as a Mixed Number
300/295 = (295 + 5)/295
= 295/295 + 5/295
= 1 + 5/295
= 1 5/295
300/295 = 1 5/295

Hence,
300/295 as a mixed number is 1 ⁵/₂₉₅
where,
300/295 is a given fraction,
1 ⁵/₂₉₅ is the mixed number representation of 300/295.

The below work with steps provide the detailed information about how to convert fraction 300/295 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/295

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/295.

step 2 The numerator is greater than the denominator of the fraction 300/295, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/295
= 295 + 5/295

step 3 Make the above expression as individual fractions:
= 295/295 + 5/295

step 4 Simplify the above expression:
= 1 x 295/295 + 5/295
= 1 + 5/295
= 1 + 1 x 5/59 x 5
= 1 + 1/59
1 + 1/59 can be written as a mixed number 1 ¹/₅₉.


step 5 Find the decimal equivalent for the fractional part 1/59 in the above expression:
= 1 + 0.0169
= 1.0169
300/295 = 1.0169

Hence,
300/295 as a decimal is 1.0169
300/295 as a mixed number is 1 ¹/₅₉