91/68 as a decimal and mixed number expansion provides the detailed information about what is 91/68 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
91/68 as a Decimal Expansion
91/68 = 1.3382
Hence,
91/68 as a decimal equals to 1.3382
where,
91/68 is a given fraction,
The decimal expansion of 91/68 is 1.3382
91/68 as a Mixed Number
91/68 = (68 + 23)/68
= 68/68 + 23/68
= 1 + 23/68
= 1 23/68
91/68 = 1 23/68
Hence,
91/68 as a mixed number is 1 23/68
where,
91/68 is a given fraction,
1 23/68 is the mixed number representation of 91/68.
The below work with steps provide the detailed information about how to convert fraction 91/68 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 91/68
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 91/68.
step 2 The numerator is greater than the denominator of the fraction 91/68, so write the given fraction in the expression form in terms of denominator as like the below:
= 91/68
= 68 + 23/68
step 3 Make the above expression as individual fractions:
= 68/68 + 23/68
step 4 Simplify the above expression:
= 1 x 68/68 + 23/68
= 1 + 23/68
1 + 23/68 can be written as a mixed number 1 23/68.
step 5 Find the decimal equivalent for the fractional part 23/68 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 23/68. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 23/68.
= 1 + (23/68 x 10/10)
step 6 Simplify the above expression further:
= 1 + (230/68 x 1/10)
= 1 + (204 + 26/68 x 1/10)
= 1 + [(204/68 + 26/68 ) x 1/10]
= 1 + [(3 + 26/68) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 26/68 in the above expression:
= 1 + [(3 + 26/68) x 1/10]
= 1 + [(3 + 0.38) x 1/10]
= 1 + (3.38 x 1/10)
= 1 + 3.38/10
= 1 + 0.338
step 8 Find the sum of above expression:
= 1 + 0.338
= 1.338
91/68 = 1.338
Hence,
91/68 as a decimal is 1.338
91/68 as a mixed number is 1 23/68