71/30 as a decimal and mixed number expansion provides the detailed information about what is 71/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
71/30 as a Decimal Expansion
71/30 = 2.3667
Hence,
71/30 as a decimal equals to 2.3667
where,
71/30 is a given fraction,
The decimal expansion of 71/30 is 2.3667
71/30 as a Mixed Number
71/30 = (60 + 11)/30
= 60/30 + 11/30
= 2 + 11/30
= 2 11/30
71/30 = 2 11/30
Hence,
71/30 as a mixed number is 2 11/30
where,
71/30 is a given fraction,
2 11/30 is the mixed number representation of 71/30.
The below work with steps provide the detailed information about how to convert fraction 71/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/30.
step 2 The numerator is greater than the denominator of the fraction 71/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/30
= 60 + 11/30
= (2 x 30) + 11/30
step 3 Make the above expression as individual fractions:
= (2 x 30)/30 + 11/30
step 4 Simplify the above expression:
= 2 x 30/30 + 11/30
= 2 + 11/30
2 + 11/30 can be written as a mixed number 2 11/30.
step 5 Find the decimal equivalent for the fractional part 11/30 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 11/30. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 11/30.
= 2 + (11/30 x 10/10)
step 6 Simplify the above expression further:
= 2 + (110/30 x 1/10)
= 2 + (90 + 20/30 x 1/10)
= 2 + [(90/30 + 20/30 ) x 1/10]
= 2 + [(3 + 20/30) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 20/30 in the above expression:
= 2 + [(3 + 20/30) x 1/10]
= 2 + [(3 + 0.67) x 1/10]
= 2 + (3.67 x 1/10)
= 2 + 3.67/10
= 2 + 0.367
step 8 Find the sum of above expression:
= 2 + 0.367
= 2.367
71/30 = 2.367
Hence,
71/30 as a decimal is 2.367
71/30 as a mixed number is 2 11/30