107/69 as a Decimal and Mixed Number

107/69 as a decimal and mixed number expansion provides the detailed information about what is 107/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

107/69 as a Decimal
107/69 = 1.5507
Hence,
107/69 as a decimal equals to 1.5507
where,
107/69 is a given fraction,
The decimal expansion of 107/69 is 1.5507

107/69 as a Mixed Number
107/69 = (69 + 38)/69
= 69/69 + 38/69
= 1 + 38/69
= 1 38/69
107/69 = 1 38/69

Hence,
107/69 as a mixed number is 1 ³⁸/₆₉
where,
107/69 is a given fraction,
1 ³⁸/₆₉ is the mixed number representation of 107/69.

The below work with steps provide the detailed information about how to convert fraction 107/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 107/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 107/69.

step 2 The numerator is greater than the denominator of the fraction 107/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 107/69
= 69 + 38/69

step 3 Make the above expression as individual fractions:
= 69/69 + 38/69

step 4 Simplify the above expression:
= 1 x 69/69 + 38/69
= 1 + 38/69
1 + 38/69 can be written as a mixed number 1 ³⁸/₆₉.


step 5 Find the decimal equivalent for the fractional part 38/69 in the above expression:
= 1 + 0.5507
= 1.5507
107/69 = 1.5507

Hence,
107/69 as a decimal is 1.5507
107/69 as a mixed number is 1 ³⁸/₆₉