82/35 as a decimal and mixed number expansion provides the detailed information about what is 82/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
82/35 as a Decimal Expansion
82/35 = 2.3429
Hence,
82/35 as a decimal equals to 2.3429
where,
82/35 is a given fraction,
The decimal expansion of 82/35 is 2.3429
82/35 as a Mixed Number
82/35 = (70 + 12)/35
= 70/35 + 12/35
= 2 + 12/35
= 2 12/35
82/35 = 2 12/35
Hence,
82/35 as a mixed number is 2 12/35
where,
82/35 is a given fraction,
2 12/35 is the mixed number representation of 82/35.
The below work with steps provide the detailed information about how to convert fraction 82/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 82/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 82/35.
step 2 The numerator is greater than the denominator of the fraction 82/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 82/35
= 70 + 12/35
= (2 x 35) + 12/35
step 3 Make the above expression as individual fractions:
= (2 x 35)/35 + 12/35
step 4 Simplify the above expression:
= 2 x 35/35 + 12/35
= 2 + 12/35
2 + 12/35 can be written as a mixed number 2 12/35.
step 5 Find the decimal equivalent for the fractional part 12/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 12/35. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 12/35.
= 2 + (12/35 x 10/10)
step 6 Simplify the above expression further:
= 2 + (120/35 x 1/10)
= 2 + (105 + 15/35 x 1/10)
= 2 + [(105/35 + 15/35 ) x 1/10]
= 2 + [(3 + 15/35) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 15/35 in the above expression:
= 2 + [(3 + 15/35) x 1/10]
= 2 + [(3 + 0.43) x 1/10]
= 2 + (3.43 x 1/10)
= 2 + 3.43/10
= 2 + 0.343
step 8 Find the sum of above expression:
= 2 + 0.343
= 2.343
82/35 = 2.343
Hence,
82/35 as a decimal is 2.343
82/35 as a mixed number is 2 12/35