53/36 as a decimal and mixed number expansion provides the detailed information about what is 53/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
53/36 as a Decimal Expansion
53/36 = 1.4722
Hence,
53/36 as a decimal equals to 1.4722
where,
53/36 is a given fraction,
The decimal expansion of 53/36 is 1.4722
53/36 as a Mixed Number
53/36 = (36 + 17)/36
= 36/36 + 17/36
= 1 + 17/36
= 1 17/36
53/36 = 1 17/36
Hence,
53/36 as a mixed number is 1 17/36
where,
53/36 is a given fraction,
1 17/36 is the mixed number representation of 53/36.
The below work with steps provide the detailed information about how to convert fraction 53/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 53/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 53/36.
step 2 The numerator is greater than the denominator of the fraction 53/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 53/36
= 36 + 17/36
step 3 Make the above expression as individual fractions:
= 36/36 + 17/36
step 4 Simplify the above expression:
= 1 x 36/36 + 17/36
= 1 + 17/36
1 + 17/36 can be written as a mixed number 1 17/36.
step 5 Find the decimal equivalent for the fractional part 17/36 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 17/36. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 17/36.
= 1 + (17/36 x 10/10)
step 6 Simplify the above expression further:
= 1 + (170/36 x 1/10)
= 1 + (144 + 26/36 x 1/10)
= 1 + [(144/36 + 26/36 ) x 1/10]
= 1 + [(4 + 26/36) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 26/36 in the above expression:
= 1 + [(4 + 26/36) x 1/10]
= 1 + [(4 + 0.72) x 1/10]
= 1 + (4.72 x 1/10)
= 1 + 4.72/10
= 1 + 0.472
step 8 Find the sum of above expression:
= 1 + 0.472
= 1.472
53/36 = 1.472
Hence,
53/36 as a decimal is 1.472
53/36 as a mixed number is 1 17/36