210/69 as a Decimal and Mixed Number

210/69 as a decimal and mixed number expansion provides the detailed information about what is 210/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

210/69 as a Decimal
210/69 = 3.0435
Hence,
210/69 as a decimal equals to 3.0435
where,
210/69 is a given fraction,
The decimal expansion of 210/69 is 3.0435

210/69 as a Mixed Number
210/69 = (207 + 3)/69
= 207/69 + 3/69
= 3 + 3/69
= 3 3/69
210/69 = 3 3/69

Hence,
210/69 as a mixed number is 3 ³/₆₉
where,
210/69 is a given fraction,
3 ³/₆₉ is the mixed number representation of 210/69.

The below work with steps provide the detailed information about how to convert fraction 210/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 210/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 210/69.

step 2 The numerator is greater than the denominator of the fraction 210/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 210/69
= 207 + 3/69
= (3 x 69) + 3/69

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

step 4 Simplify the above expression:
= 3 x 69/69 + 3/69
= 3 + 3/69
= 3 + 1 x 3/23 x 3
= 3 + 1/23
3 + 1/23 can be written as a mixed number 3 ¹/₂₃.


step 5 Find the decimal equivalent for the fractional part 1/23 in the above expression:
= 3 + 0.0435
= 3.0435
210/69 = 3.0435

Hence,
210/69 as a decimal is 3.0435
210/69 as a mixed number is 3 ¹/₂₃