36/35 as a Decimal and Mixed Number

36/35 as a decimal and mixed number expansion provides the detailed information about what is 36/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

36/35 as a Decimal Expansion
36/35 = 1.0286
Hence,
36/35 as a decimal equals to 1.0286
where,
36/35 is a given fraction,
The decimal expansion of 36/35 is 1.0286

36/35 as a Mixed Number
36/35 = (35 + 1)/35
= 35/35 + 1/35
= 1 + 1/35
= 1 1/35
36/35 = 1 1/35

Hence,
36/35 as a mixed number is 1 ¹/₃₅
where,
36/35 is a given fraction,
1 ¹/₃₅ is the mixed number representation of 36/35.

The below work with steps provide the detailed information about how to convert fraction 36/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 36/35

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 36/35.

step 2 The numerator is greater than the denominator of the fraction 36/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 36/35
= 35 + 1/35

step 3 Make the above expression as individual fractions:
= 35/35 + 1/35

step 4 Simplify the above expression:
= 1 + 1/35
1 + 1/35 can be written as a mixed number 1 ¹/₃₅


step 5 Find the decimal equivalent for the fractional part 1/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/35. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/35.
= 1 + (1/35 x 100/100)

step 6 Simplify the above expression further:
= 1 + (100/35 x 1/100)
= 1 + (70 + 30/35 x 1/100)
= 1 + [(70/35 + 30/35 ) x 1/100]
= 1 + [(2 + 30/35) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 30/35 in the above expression:
= 1 + [(2 + 30/35) x 1/100]
= 1 + [(2 + 0.86) x 1/100]
= 1 + (2.86 x 1/100)
= 1 + 2.86/100
= 1 + 0.0286

step 8 Find the sum of above expression:
= 1 + 0.0286
= 1.0286
36/35 = 1.0286

Hence,
36/35 as a decimal is 1.0286
36/35 as a mixed number is 1 ¹/₃₅