75/23 as a Decimal and Mixed Number

75/23 as a decimal and mixed number expansion provides the detailed information about what is 75/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/23 as a Decimal
75/23 = 3.2609
Hence,
75/23 as a decimal equals to 3.2609
where,
75/23 is a given fraction,
The decimal expansion of 75/23 is 3.2609

75/23 as a Mixed Number
75/23 = (69 + 6)/23
= 69/23 + 6/23
= 3 + 6/23
= 3 6/23
75/23 = 3 6/23

Hence,
75/23 as a mixed number is 3 ⁶/₂₃
where,
75/23 is a given fraction,
3 ⁶/₂₃ is the mixed number representation of 75/23.

The below work with steps provide the detailed information about how to convert fraction 75/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/23.

step 2 The numerator is greater than the denominator of the fraction 75/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/23
= 69 + 6/23
= (3 x 23) + 6/23

step 3 Make the above expression as individual fractions:
= (3 x 23)/23 + 6/23

step 4 Simplify the above expression:
= 3 x 23/23 + 6/23
= 3 + 6/23
3 + 6/23 can be written as a mixed number 3 ⁶/₂₃.


step 5 Find the decimal equivalent for the fractional part 6/23 in the above expression:
= 3 + 0.2609
= 3.2609
75/23 = 3.2609

Hence,
75/23 as a decimal is 3.2609
75/23 as a mixed number is 3 ⁶/₂₃