120/106 as a Decimal and Mixed Number

120/106 as a decimal and mixed number expansion provides the detailed information about what is 120/106 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/106 as a Decimal
120/106 = 1.1321
Hence,
120/106 as a decimal equals to 1.1321
where,
120/106 is a given fraction,
The decimal expansion of 120/106 is 1.1321

120/106 as a Mixed Number
120/106 = (106 + 14)/106
= 106/106 + 14/106
= 1 + 14/106
= 1 14/106
120/106 = 1 14/106

Hence,
120/106 as a mixed number is 1 ¹⁴/₁₀₆
where,
120/106 is a given fraction,
1 ¹⁴/₁₀₆ is the mixed number representation of 120/106.

The below work with steps provide the detailed information about how to convert fraction 120/106 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/106

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/106.

step 2 The numerator is greater than the denominator of the fraction 120/106, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/106
= 106 + 14/106

step 3 Make the above expression as individual fractions:
= 106/106 + 14/106

step 4 Simplify the above expression:
= 1 x 106/106 + 14/106
= 1 + 14/106
= 1 + 7 x 2/53 x 2
= 1 + 7/53
1 + 7/53 can be written as a mixed number 1 ⁷/₅₃.


step 5 Find the decimal equivalent for the fractional part 7/53 in the above expression:
= 1 + 0.1321
= 1.1321
120/106 = 1.1321

Hence,
120/106 as a decimal is 1.1321
120/106 as a mixed number is 1 ⁷/₅₃