120/35 as a Decimal and Mixed Number

120/35 as a decimal and mixed number expansion provides the detailed information about what is 120/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

120/35 as a Decimal
120/35 = 3.4286
Hence,
120/35 as a decimal equals to 3.4286
where,
120/35 is a given fraction,
The decimal expansion of 120/35 is 3.4286

120/35 as a Mixed Number
120/35 = (105 + 15)/35
= 105/35 + 15/35
= 3 + 15/35
= 3 15/35
120/35 = 3 15/35

Hence,
120/35 as a mixed number is 3 ¹⁵/₃₅
where,
120/35 is a given fraction,
3 ¹⁵/₃₅ is the mixed number representation of 120/35.

The below work with steps provide the detailed information about how to convert fraction 120/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/35.

step 2 The numerator is greater than the denominator of the fraction 120/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/35
= 105 + 15/35
= (3 x 35) + 15/35

step 3 Make the above expression as individual fractions:
= (3 x 35)/35 + 15/35

step 4 Simplify the above expression:
= 3 x 35/35 + 15/35
= 3 + 15/35
= 3 + 3 x 5/7 x 5
= 3 + 3/7
3 + 3/7 can be written as a mixed number 3 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 3 + 0.4286
= 3.4286
120/35 = 3.4286

Hence,
120/35 as a decimal is 3.4286
120/35 as a mixed number is 3 ³/₇