53/39 as a decimal and mixed number expansion provides the detailed information about what is 53/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
53/39 as a Decimal Expansion
53/39 = 1.359
Hence,
53/39 as a decimal equals to 1.359
where,
53/39 is a given fraction,
The decimal expansion of 53/39 is 1.359
53/39 as a Mixed Number
53/39 = (39 + 14)/39
= 39/39 + 14/39
= 1 + 14/39
= 1 14/39
53/39 = 1 14/39
Hence,
53/39 as a mixed number is 1 14/39
where,
53/39 is a given fraction,
1 14/39 is the mixed number representation of 53/39.
The below work with steps provide the detailed information about how to convert fraction 53/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 53/39
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 53/39.
step 2 The numerator is greater than the denominator of the fraction 53/39, so write the given fraction in the expression form in terms of denominator as like the below:
= 53/39
= 39 + 14/39
step 3 Make the above expression as individual fractions:
= 39/39 + 14/39
step 4 Simplify the above expression:
= 1 x 39/39 + 14/39
= 1 + 14/39
1 + 14/39 can be written as a mixed number 1 14/39.
step 5 Find the decimal equivalent for the fractional part 14/39 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 14/39. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 14/39.
= 1 + (14/39 x 10/10)
step 6 Simplify the above expression further:
= 1 + (140/39 x 1/10)
= 1 + (117 + 23/39 x 1/10)
= 1 + [(117/39 + 23/39 ) x 1/10]
= 1 + [(3 + 23/39) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 23/39 in the above expression:
= 1 + [(3 + 23/39) x 1/10]
= 1 + [(3 + 0.59) x 1/10]
= 1 + (3.59 x 1/10)
= 1 + 3.59/10
= 1 + 0.359
step 8 Find the sum of above expression:
= 1 + 0.359
= 1.359
53/39 = 1.359
Hence,
53/39 as a decimal is 1.359
53/39 as a mixed number is 1 14/39