126/38 as a Decimal and Mixed Number

126/38 as a decimal and mixed number expansion provides the detailed information about what is 126/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

126/38 as a Decimal
126/38 = 3.3158
Hence,
126/38 as a decimal equals to 3.3158
where,
126/38 is a given fraction,
The decimal expansion of 126/38 is 3.3158

126/38 as a Mixed Number
126/38 = (114 + 12)/38
= 114/38 + 12/38
= 3 + 12/38
= 3 12/38
126/38 = 3 12/38

Hence,
126/38 as a mixed number is 3 ¹²/₃₈
where,
126/38 is a given fraction,
3 ¹²/₃₈ is the mixed number representation of 126/38.

The below work with steps provide the detailed information about how to convert fraction 126/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 126/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 126/38.

step 2 The numerator is greater than the denominator of the fraction 126/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 126/38
= 114 + 12/38
= (3 x 38) + 12/38

step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 12/38

step 4 Simplify the above expression:
= 3 x 38/38 + 12/38
= 3 + 12/38
= 3 + 6 x 2/19 x 2
= 3 + 6/19
3 + 6/19 can be written as a mixed number 3 ⁶/₁₉.


step 5 Find the decimal equivalent for the fractional part 6/19 in the above expression:
= 3 + 0.3158
= 3.3158
126/38 = 3.3158

Hence,
126/38 as a decimal is 3.3158
126/38 as a mixed number is 3 ⁶/₁₉