120/34 as a Decimal and Mixed Number

120/34 as a decimal and mixed number expansion provides the detailed information about what is 120/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/34 as a Decimal
120/34 = 3.5294
Hence,
120/34 as a decimal equals to 3.5294
where,
120/34 is a given fraction,
The decimal expansion of 120/34 is 3.5294

120/34 as a Mixed Number
120/34 = (102 + 18)/34
= 102/34 + 18/34
= 3 + 18/34
= 3 18/34
120/34 = 3 18/34

Hence,
120/34 as a mixed number is 3 ¹⁸/₃₄
where,
120/34 is a given fraction,
3 ¹⁸/₃₄ is the mixed number representation of 120/34.

The below work with steps provide the detailed information about how to convert fraction 120/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/34.

step 2 The numerator is greater than the denominator of the fraction 120/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/34
= 102 + 18/34
= (3 x 34) + 18/34

step 3 Make the above expression as individual fractions:
= (3 x 34)/34 + 18/34

step 4 Simplify the above expression:
= 3 x 34/34 + 18/34
= 3 + 18/34
= 3 + 9 x 2/17 x 2
= 3 + 9/17
3 + 9/17 can be written as a mixed number 3 ⁹/₁₇.


step 5 Find the decimal equivalent for the fractional part 9/17 in the above expression:
= 3 + 0.5294
= 3.5294
120/34 = 3.5294

Hence,
120/34 as a decimal is 3.5294
120/34 as a mixed number is 3 ⁹/₁₇