146/38 as a Decimal and Mixed Number

146/38 as a decimal and mixed number expansion provides the detailed information about what is 146/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

146/38 as a Decimal
146/38 = 3.8421
Hence,
146/38 as a decimal equals to 3.8421
where,
146/38 is a given fraction,
The decimal expansion of 146/38 is 3.8421

146/38 as a Mixed Number
146/38 = (114 + 32)/38
= 114/38 + 32/38
= 3 + 32/38
= 3 32/38
146/38 = 3 32/38

Hence,
146/38 as a mixed number is 3 ³²/₃₈
where,
146/38 is a given fraction,
3 ³²/₃₈ is the mixed number representation of 146/38.

The below work with steps provide the detailed information about how to convert fraction 146/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 146/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 146/38.

step 2 The numerator is greater than the denominator of the fraction 146/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 146/38
= 114 + 32/38
= (3 x 38) + 32/38

step 3 Make the above expression as individual fractions:
= (3 x 38)/38 + 32/38

step 4 Simplify the above expression:
= 3 x 38/38 + 32/38
= 3 + 32/38
= 3 + 16 x 2/19 x 2
= 3 + 16/19
3 + 16/19 can be written as a mixed number 3 ¹⁶/₁₉.


step 5 Find the decimal equivalent for the fractional part 16/19 in the above expression:
= 3 + 0.8421
= 3.8421
146/38 = 3.8421

Hence,
146/38 as a decimal is 3.8421
146/38 as a mixed number is 3 ¹⁶/₁₉