137/110 as a decimal and mixed number expansion provides the detailed information about what is 137/110 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
137/110 as a Decimal Expansion
137/110 = 1.2455
Hence,
137/110 as a decimal equals to 1.2455
where,
137/110 is a given fraction,
The decimal expansion of 137/110 is 1.2455
137/110 as a Mixed Number
137/110 = (110 + 27)/110
= 110/110 + 27/110
= 1 + 27/110
= 1 27/110
137/110 = 1 27/110
Hence,
137/110 as a mixed number is 1 27/110
where,
137/110 is a given fraction,
1 27/110 is the mixed number representation of 137/110.
The below work with steps provide the detailed information about how to convert fraction 137/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 137/110
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 137/110.
step 2 The numerator is greater than the denominator of the fraction 137/110, so write the given fraction in the expression form in terms of denominator as like the below:
= 137/110
= 110 + 27/110
step 3 Make the above expression as individual fractions:
= 110/110 + 27/110
step 4 Simplify the above expression:
= 1 x 110/110 + 27/110
= 1 + 27/110
1 + 27/110 can be written as a mixed number 1 27/110.
step 5 Find the decimal equivalent for the fractional part 27/110 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 27/110. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 27/110.
= 1 + (27/110 x 100/100)
step 6 Simplify the above expression further:
= 1 + (2700/110 x 1/100)
= 1 + (2640 + 60/110 x 1/100)
= 1 + [(2640/110 + 60/110 ) x 1/100]
= 1 + [(24 + 60/110) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 60/110 in the above expression:
= 1 + [(24 + 60/110) x 1/100]
= 1 + [(24 + 0.55) x 1/100]
= 1 + (24.55 x 1/100)
= 1 + 24.55/100
= 1 + 0.2455
step 8 Find the sum of above expression:
= 1 + 0.2455
= 1.2455
137/110 = 1.2455
Hence,
137/110 as a decimal is 1.2455
137/110 as a mixed number is 1 27/110