46/38 as a Decimal and Mixed Number

46/38 as a decimal and mixed number expansion provides the detailed information about what is 46/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/38 as a Decimal
46/38 = 1.2105
Hence,
46/38 as a decimal equals to 1.2105
where,
46/38 is a given fraction,
The decimal expansion of 46/38 is 1.2105

46/38 as a Mixed Number
46/38 = (38 + 8)/38
= 38/38 + 8/38
= 1 + 8/38
= 1 8/38
46/38 = 1 8/38

Hence,
46/38 as a mixed number is 1 ⁸/₃₈
where,
46/38 is a given fraction,
1 ⁸/₃₈ is the mixed number representation of 46/38.

The below work with steps provide the detailed information about how to convert fraction 46/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/38.

step 2 The numerator is greater than the denominator of the fraction 46/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/38
= 38 + 8/38

step 3 Make the above expression as individual fractions:
= 38/38 + 8/38

step 4 Simplify the above expression:
= 1 x 38/38 + 8/38
= 1 + 8/38
= 1 + 4 x 2/19 x 2
= 1 + 4/19
1 + 4/19 can be written as a mixed number 1 ⁴/₁₉.


step 5 Find the decimal equivalent for the fractional part 4/19 in the above expression:
= 1 + 0.2105
= 1.2105
46/38 = 1.2105

Hence,
46/38 as a decimal is 1.2105
46/38 as a mixed number is 1 ⁴/₁₉