75/34 as a Decimal and Mixed Number

75/34 as a decimal and mixed number expansion provides the detailed information about what is 75/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/34 as a Decimal
75/34 = 2.2059
Hence,
75/34 as a decimal equals to 2.2059
where,
75/34 is a given fraction,
The decimal expansion of 75/34 is 2.2059

75/34 as a Mixed Number
75/34 = (68 + 7)/34
= 68/34 + 7/34
= 2 + 7/34
= 2 7/34
75/34 = 2 7/34

Hence,
75/34 as a mixed number is 2 ⁷/₃₄
where,
75/34 is a given fraction,
2 ⁷/₃₄ is the mixed number representation of 75/34.

The below work with steps provide the detailed information about how to convert fraction 75/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/34.

step 2 The numerator is greater than the denominator of the fraction 75/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/34
= 68 + 7/34
= (2 x 34) + 7/34

step 3 Make the above expression as individual fractions:
= (2 x 34)/34 + 7/34

step 4 Simplify the above expression:
= 2 x 34/34 + 7/34
= 2 + 7/34
2 + 7/34 can be written as a mixed number 2 ⁷/₃₄.


step 5 Find the decimal equivalent for the fractional part 7/34 in the above expression:
= 2 + 0.2059
= 2.2059
75/34 = 2.2059

Hence,
75/34 as a decimal is 2.2059
75/34 as a mixed number is 2 ⁷/₃₄