46/39 as a Decimal and Mixed Number

46/39 as a decimal and mixed number expansion provides the detailed information about what is 46/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

46/39 as a Decimal
46/39 = 1.1795
Hence,
46/39 as a decimal equals to 1.1795
where,
46/39 is a given fraction,
The decimal expansion of 46/39 is 1.1795

46/39 as a Mixed Number
46/39 = (39 + 7)/39
= 39/39 + 7/39
= 1 + 7/39
= 1 7/39
46/39 = 1 7/39

Hence,
46/39 as a mixed number is 1 ⁷/₃₉
where,
46/39 is a given fraction,
1 ⁷/₃₉ is the mixed number representation of 46/39.

The below work with steps provide the detailed information about how to convert fraction 46/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/39

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/39.

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

step 3 Make the above expression as individual fractions:
= 39/39 + 7/39

step 4 Simplify the above expression:
= 1 x 39/39 + 7/39
= 1 + 7/39
1 + 7/39 can be written as a mixed number 1 ⁷/₃₉.


step 5 Find the decimal equivalent for the fractional part 7/39 in the above expression:
= 1 + 0.1795
= 1.1795
46/39 = 1.1795

Hence,
46/39 as a decimal is 1.1795
46/39 as a mixed number is 1 ⁷/₃₉