47/36 as a decimal and mixed number expansion provides the detailed information about what is 47/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/36 as a Decimal Expansion
47/36 = 1.3056
Hence,
47/36 as a decimal equals to 1.3056
where,
47/36 is a given fraction,
The decimal expansion of 47/36 is 1.3056
47/36 as a Mixed Number
47/36 = (36 + 11)/36
= 36/36 + 11/36
= 1 + 11/36
= 1 11/36
47/36 = 1 11/36
Hence,
47/36 as a mixed number is 1 11/36
where,
47/36 is a given fraction,
1 11/36 is the mixed number representation of 47/36.
The below work with steps provide the detailed information about how to convert fraction 47/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/36.
step 2 The numerator is greater than the denominator of the fraction 47/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/36
= 36 + 11/36
step 3 Make the above expression as individual fractions:
= 36/36 + 11/36
step 4 Simplify the above expression:
= 1 x 36/36 + 11/36
= 1 + 11/36
1 + 11/36 can be written as a mixed number 1 11/36.
step 5 Find the decimal equivalent for the fractional part 11/36 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/36. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/36.
= 1 + (11/36 x 10/10)
step 6 Simplify the above expression further:
= 1 + (110/36 x 1/10)
= 1 + (108 + 2/36 x 1/10)
= 1 + [(108/36 + 2/36 ) x 1/10]
= 1 + [(3 + 2/36) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/36 in the above expression:
= 1 + [(3 + 2/36) x 1/10]
= 1 + [(3 + 0.06) x 1/10]
= 1 + (3.06 x 1/10)
= 1 + 3.06/10
= 1 + 0.306
step 8 Find the sum of above expression:
= 1 + 0.306
= 1.306
47/36 = 1.306
Hence,
47/36 as a decimal is 1.306
47/36 as a mixed number is 1 11/36