120/52 as a Decimal and Mixed Number

120/52 as a decimal and mixed number expansion provides the detailed information about what is 120/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/52 as a Decimal
120/52 = 2.3077
Hence,
120/52 as a decimal equals to 2.3077
where,
120/52 is a given fraction,
The decimal expansion of 120/52 is 2.3077

120/52 as a Mixed Number
120/52 = (104 + 16)/52
= 104/52 + 16/52
= 2 + 16/52
= 2 16/52
120/52 = 2 16/52

Hence,
120/52 as a mixed number is 2 ¹⁶/₅₂
where,
120/52 is a given fraction,
2 ¹⁶/₅₂ is the mixed number representation of 120/52.

The below work with steps provide the detailed information about how to convert fraction 120/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/52.

step 2 The numerator is greater than the denominator of the fraction 120/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/52
= 104 + 16/52
= (2 x 52) + 16/52

step 3 Make the above expression as individual fractions:
= (2 x 52)/52 + 16/52

step 4 Simplify the above expression:
= 2 x 52/52 + 16/52
= 2 + 16/52
= 2 + 4 x 4/13 x 4
= 2 + 4/13
2 + 4/13 can be written as a mixed number 2 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 2 + 0.3077
= 2.3077
120/52 = 2.3077

Hence,
120/52 as a decimal is 2.3077
120/52 as a mixed number is 2 ⁴/₁₃