45/39 as a Decimal and Mixed Number

45/39 as a decimal and mixed number expansion provides the detailed information about what is 45/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

45/39 as a Decimal
45/39 = 1.1538
Hence,
45/39 as a decimal equals to 1.1538
where,
45/39 is a given fraction,
The decimal expansion of 45/39 is 1.1538

45/39 as a Mixed Number
45/39 = (39 + 6)/39
= 39/39 + 6/39
= 1 + 6/39
= 1 6/39
45/39 = 1 6/39

Hence,
45/39 as a mixed number is 1 ⁶/₃₉
where,
45/39 is a given fraction,
1 ⁶/₃₉ is the mixed number representation of 45/39.

The below work with steps provide the detailed information about how to convert fraction 45/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/39

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/39.

step 2 The numerator is greater than the denominator of the fraction 45/39, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/39
= 39 + 6/39

step 3 Make the above expression as individual fractions:
= 39/39 + 6/39

step 4 Simplify the above expression:
= 1 x 39/39 + 6/39
= 1 + 6/39
= 1 + 2 x 3/13 x 3
= 1 + 2/13
1 + 2/13 can be written as a mixed number 1 ²/₁₃.


step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 1 + 0.1538
= 1.1538
45/39 = 1.1538

Hence,
45/39 as a decimal is 1.1538
45/39 as a mixed number is 1 ²/₁₃