145/69 as a Decimal and Mixed Number

145/69 as a decimal and mixed number expansion provides the detailed information about what is 145/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/69 as a Decimal
145/69 = 2.1014
Hence,
145/69 as a decimal equals to 2.1014
where,
145/69 is a given fraction,
The decimal expansion of 145/69 is 2.1014

145/69 as a Mixed Number
145/69 = (138 + 7)/69
= 138/69 + 7/69
= 2 + 7/69
= 2 7/69
145/69 = 2 7/69

Hence,
145/69 as a mixed number is 2 ⁷/₆₉
where,
145/69 is a given fraction,
2 ⁷/₆₉ is the mixed number representation of 145/69.

The below work with steps provide the detailed information about how to convert fraction 145/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/69.

step 2 The numerator is greater than the denominator of the fraction 145/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/69
= 138 + 7/69
= (2 x 69) + 7/69

step 3 Make the above expression as individual fractions:
= (2 x 69)/69 + 7/69

step 4 Simplify the above expression:
= 2 x 69/69 + 7/69
= 2 + 7/69
2 + 7/69 can be written as a mixed number 2 ⁷/₆₉.


step 5 Find the decimal equivalent for the fractional part 7/69 in the above expression:
= 2 + 0.1014
= 2.1014
145/69 = 2.1014

Hence,
145/69 as a decimal is 2.1014
145/69 as a mixed number is 2 ⁷/₆₉