320/145 as a Decimal and Mixed Number

320/145 as a decimal and mixed number expansion provides the detailed information about what is 320/145 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

320/145 as a Decimal
320/145 = 2.2069
Hence,
320/145 as a decimal equals to 2.2069
where,
320/145 is a given fraction,
The decimal expansion of 320/145 is 2.2069

320/145 as a Mixed Number
320/145 = (290 + 30)/145
= 290/145 + 30/145
= 2 + 30/145
= 2 30/145
320/145 = 2 30/145

Hence,
320/145 as a mixed number is 2 ³⁰/₁₄₅
where,
320/145 is a given fraction,
2 ³⁰/₁₄₅ is the mixed number representation of 320/145.

The below work with steps provide the detailed information about how to convert fraction 320/145 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 320/145

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 320/145.

step 2 The numerator is greater than the denominator of the fraction 320/145, so write the given fraction in the expression form in terms of denominator as like the below:
= 320/145
= 290 + 30/145
= (2 x 145) + 30/145

step 3 Make the above expression as individual fractions:
= (2 x 145)/145 + 30/145

step 4 Simplify the above expression:
= 2 x 145/145 + 30/145
= 2 + 30/145
= 2 + 6 x 5/29 x 5
= 2 + 6/29
2 + 6/29 can be written as a mixed number 2 ⁶/₂₉.


step 5 Find the decimal equivalent for the fractional part 6/29 in the above expression:
= 2 + 0.2069
= 2.2069
320/145 = 2.2069

Hence,
320/145 as a decimal is 2.2069
320/145 as a mixed number is 2 ⁶/₂₉