46/13 as a Decimal and Mixed Number

46/13 as a decimal and mixed number expansion provides the detailed information about what is 46/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/13 as a Decimal
46/13 = 3.5385
Hence,
46/13 as a decimal equals to 3.5385
where,
46/13 is a given fraction,
The decimal expansion of 46/13 is 3.5385

46/13 as a Mixed Number
46/13 = (39 + 7)/13
= 39/13 + 7/13
= 3 + 7/13
= 3 7/13
46/13 = 3 7/13

Hence,
46/13 as a mixed number is 3 ⁷/₁₃
where,
46/13 is a given fraction,
3 ⁷/₁₃ is the mixed number representation of 46/13.

The below work with steps provide the detailed information about how to convert fraction 46/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/13.

step 2 The numerator is greater than the denominator of the fraction 46/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/13
= 39 + 7/13
= (3 x 13) + 7/13

step 3 Make the above expression as individual fractions:
= (3 x 13)/13 + 7/13

step 4 Simplify the above expression:
= 3 x 13/13 + 7/13
= 3 + 7/13
3 + 7/13 can be written as a mixed number 3 ⁷/₁₃.


step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
= 3 + 0.5385
= 3.5385
46/13 = 3.5385

Hence,
46/13 as a decimal is 3.5385
46/13 as a mixed number is 3 ⁷/₁₃