120/37 as a Decimal and Mixed Number

120/37 as a decimal and mixed number expansion provides the detailed information about what is 120/37 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/37 as a Decimal
120/37 = 3.2432
Hence,
120/37 as a decimal equals to 3.2432
where,
120/37 is a given fraction,
The decimal expansion of 120/37 is 3.2432

120/37 as a Mixed Number
120/37 = (111 + 9)/37
= 111/37 + 9/37
= 3 + 9/37
= 3 9/37
120/37 = 3 9/37

Hence,
120/37 as a mixed number is 3 ⁹/₃₇
where,
120/37 is a given fraction,
3 ⁹/₃₇ is the mixed number representation of 120/37.

The below work with steps provide the detailed information about how to convert fraction 120/37 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/37

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/37.

step 2 The numerator is greater than the denominator of the fraction 120/37, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/37
= 111 + 9/37
= (3 x 37) + 9/37

step 3 Make the above expression as individual fractions:
= (3 x 37)/37 + 9/37

step 4 Simplify the above expression:
= 3 x 37/37 + 9/37
= 3 + 9/37
3 + 9/37 can be written as a mixed number 3 ⁹/₃₇.


step 5 Find the decimal equivalent for the fractional part 9/37 in the above expression:
= 3 + 0.2432
= 3.2432
120/37 = 3.2432

Hence,
120/37 as a decimal is 3.2432
120/37 as a mixed number is 3 ⁹/₃₇