41/6 as a Decimal and Mixed Number
41/6 as a decimal and mixed number expansion provides the detailed information about what is 41/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
41/6 as a Decimal Expansion
41/6 = 6.8333
Hence,
41/6 as a decimal equals to 6.8333
where,
41/6 is a given fraction,
The decimal expansion of 41/6 is 6.8333
41/6 as a Mixed Number
41/6 = (36 + 5)/6
= 36/6 + 5/6
= 6 + 5/6
= 6 5/6
41/6 = 6 5/6
Hence,
41/6 as a mixed number is 6 5/6
where,
41/6 is a given fraction,
6 5/6 is the mixed number representation of 41/6.
How-to: 41/6 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 41/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 41/6
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 41/6.
step 2 The numerator is greater than the denominator of the fraction 41/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 41/6
= 36 + 5/6
= (6 x 6) + 5/6
step 3 Make the above expression as individual fractions:
= (6 x 6)/6 + 5/6
step 4 Simplify the above expression:
= 6 x 6/6 + 5/6
= 6 + 5/6
6 + 5/6 can be written as a mixed number 6 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/6.
= 6 + (5/6 x 10/10)
step 6 Simplify the above expression further:
= 6 + (50/6 x 1/10)
= 6 + (48 + 2/6 x 1/10)
= 6 + [(48/6 + 2/6 ) x 1/10]
= 6 + [(8 + 2/6) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/6 in the above expression:
= 6 + [(8 + 2/6) x 1/10]
= 6 + [(8 + 0.33) x 1/10]
= 6 + (8.33 x 1/10)
= 6 + 8.33/10
= 6 + 0.833
step 8 Find the sum of above expression:
= 6 + 0.833
= 6.833
41/6 = 6.833
Hence,
41/6 as a decimal is 6.833
41/6 as a mixed number is 6 5/6