41/36 as a decimal and mixed number expansion provides the detailed information about what is 41/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
41/36 as a Decimal Expansion
41/36 = 1.1389
Hence,
41/36 as a decimal equals to 1.1389
where,
41/36 is a given fraction,
The decimal expansion of 41/36 is 1.1389
41/36 as a Mixed Number
41/36 = (36 + 5)/36
= 36/36 + 5/36
= 1 + 5/36
= 1 5/36
41/36 = 1 5/36
Hence,
41/36 as a mixed number is 1 5/36
where,
41/36 is a given fraction,
1 5/36 is the mixed number representation of 41/36.
The below work with steps provide the detailed information about how to convert fraction 41/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 41/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 41/36.
step 2 The numerator is greater than the denominator of the fraction 41/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 41/36
= 36 + 5/36
step 3 Make the above expression as individual fractions:
= 36/36 + 5/36
step 4 Simplify the above expression:
= 1 x 36/36 + 5/36
= 1 + 5/36
1 + 5/36 can be written as a mixed number 1 5/36.
step 5 Find the decimal equivalent for the fractional part 5/36 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/36. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/36.
= 1 + (5/36 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/36 x 1/100)
= 1 + (468 + 32/36 x 1/100)
= 1 + [(468/36 + 32/36 ) x 1/100]
= 1 + [(13 + 32/36) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 32/36 in the above expression:
= 1 + [(13 + 32/36) x 1/100]
= 1 + [(13 + 0.89) x 1/100]
= 1 + (13.89 x 1/100)
= 1 + 13.89/100
= 1 + 0.1389
step 8 Find the sum of above expression:
= 1 + 0.1389
= 1.1389
41/36 = 1.1389
Hence,
41/36 as a decimal is 1.1389
41/36 as a mixed number is 1 5/36