53/40 as a decimal and mixed number expansion provides the detailed information about what is 53/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
53/40 as a Decimal Expansion
53/40 = 1.325
Hence,
53/40 as a decimal equals to 1.325
where,
53/40 is a given fraction,
The decimal expansion of 53/40 is 1.325
53/40 as a Mixed Number
53/40 = (40 + 13)/40
= 40/40 + 13/40
= 1 + 13/40
= 1 13/40
53/40 = 1 13/40
Hence,
53/40 as a mixed number is 1 13/40
where,
53/40 is a given fraction,
1 13/40 is the mixed number representation of 53/40.
The below work with steps provide the detailed information about how to convert fraction 53/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 53/40
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 53/40.
step 2 The numerator is greater than the denominator of the fraction 53/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 53/40
= 40 + 13/40
step 3 Make the above expression as individual fractions:
= 40/40 + 13/40
step 4 Simplify the above expression:
= 1 x 40/40 + 13/40
= 1 + 13/40
1 + 13/40 can be written as a mixed number 1 13/40.
step 5 Find the decimal equivalent for the fractional part 13/40 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/40. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/40.
= 1 + (13/40 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/40 x 1/10)
= 1 + (120 + 10/40 x 1/10)
= 1 + [(120/40 + 10/40 ) x 1/10]
= 1 + [(3 + 10/40) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/40 in the above expression:
= 1 + [(3 + 10/40) x 1/10]
= 1 + [(3 + 0.25) x 1/10]
= 1 + (3.25 x 1/10)
= 1 + 3.25/10
= 1 + 0.325
step 8 Find the sum of above expression:
= 1 + 0.325
= 1.325
53/40 = 1.325
Hence,
53/40 as a decimal is 1.325
53/40 as a mixed number is 1 13/40