300/145 as a Decimal and Mixed Number

300/145 as a decimal and mixed number expansion provides the detailed information about what is 300/145 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/145 as a Decimal
300/145 = 2.069
Hence,
300/145 as a decimal equals to 2.069
where,
300/145 is a given fraction,
The decimal expansion of 300/145 is 2.069

300/145 as a Mixed Number
300/145 = (290 + 10)/145
= 290/145 + 10/145
= 2 + 10/145
= 2 10/145
300/145 = 2 10/145

Hence,
300/145 as a mixed number is 2 ¹⁰/₁₄₅
where,
300/145 is a given fraction,
2 ¹⁰/₁₄₅ is the mixed number representation of 300/145.

The below work with steps provide the detailed information about how to convert fraction 300/145 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/145

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/145.

step 2 The numerator is greater than the denominator of the fraction 300/145, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/145
= 290 + 10/145
= (2 x 145) + 10/145

step 3 Make the above expression as individual fractions:
= (2 x 145)/145 + 10/145

step 4 Simplify the above expression:
= 2 x 145/145 + 10/145
= 2 + 10/145
= 2 + 2 x 5/29 x 5
= 2 + 2/29
2 + 2/29 can be written as a mixed number 2 ²/₂₉.


step 5 Find the decimal equivalent for the fractional part 2/29 in the above expression:
= 2 + 0.069
= 2.069
300/145 = 2.069

Hence,
300/145 as a decimal is 2.069
300/145 as a mixed number is 2 ²/₂₉