31/18 as a decimal and mixed number expansion provides the detailed information about what is 31/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
31/18 as a Decimal Expansion
31/18 = 1.7222
Hence,
31/18 as a decimal equals to 1.7222
where,
31/18 is a given fraction,
The decimal expansion of 31/18 is 1.7222
31/18 as a Mixed Number
31/18 = (18 + 13)/18
= 18/18 + 13/18
= 1 + 13/18
= 1 13/18
31/18 = 1 13/18
Hence,
31/18 as a mixed number is 1 13/18
where,
31/18 is a given fraction,
1 13/18 is the mixed number representation of 31/18.
The below work with steps provide the detailed information about how to convert fraction 31/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 31/18
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 31/18.
step 2 The numerator is greater than the denominator of the fraction 31/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 31/18
= 18 + 13/18
step 3 Make the above expression as individual fractions:
= 18/18 + 13/18
step 4 Simplify the above expression:
= 1 x 18/18 + 13/18
= 1 + 13/18
1 + 13/18 can be written as a mixed number 1 13/18.
step 5 Find the decimal equivalent for the fractional part 13/18 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/18. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/18.
= 1 + (13/18 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/18 x 1/10)
= 1 + (126 + 4/18 x 1/10)
= 1 + [(126/18 + 4/18 ) x 1/10]
= 1 + [(7 + 4/18) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/18 in the above expression:
= 1 + [(7 + 4/18) x 1/10]
= 1 + [(7 + 0.22) x 1/10]
= 1 + (7.22 x 1/10)
= 1 + 7.22/10
= 1 + 0.722
step 8 Find the sum of above expression:
= 1 + 0.722
= 1.722
31/18 = 1.722
Hence,
31/18 as a decimal is 1.722
31/18 as a mixed number is 1 13/18