120/57 as a decimal and mixed number expansion provides the detailed information about what is 120/57 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
120/57 as a Decimal
120/57 = 2.1053
Hence,
120/57 as a decimal equals to 2.1053
where,
120/57 is a given fraction,
The decimal expansion of 120/57 is 2.1053
120/57 as a Mixed Number
120/57 = (114 + 6)/57
= 114/57 + 6/57
= 2 + 6/57
= 2 6/57
120/57 = 2 6/57
Hence,
120/57 as a mixed number is 2 6/57
where,
120/57 is a given fraction,
2 6/57 is the mixed number representation of 120/57.
The below work with steps provide the detailed information about how to convert fraction 120/57 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/57
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/57.
step 2 The numerator is greater than the denominator of the fraction 120/57, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/57
= 114 + 6/57
= (2 x 57) + 6/57
step 3 Make the above expression as individual fractions:
= (2 x 57)/57 + 6/57
step 4 Simplify the above expression:
= 2 x 57/57 + 6/57
= 2 + 6/57
= 2 + 2 x 3/19 x 3
= 2 + 2/19
2 + 2/19 can be written as a mixed number 2 2/19.
step 5 Find the decimal equivalent for the fractional part 2/19 in the above expression:
= 2 + 0.1053
= 2.1053
120/57 = 2.1053
Hence,
120/57 as a decimal is 2.1053
120/57 as a mixed number is 2 2/19