49/6 as a Decimal and Mixed Number
49/6 as a decimal and mixed number expansion provides the detailed information about what is 49/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
49/6 as a Decimal Expansion
49/6 = 8.1667
Hence,
49/6 as a decimal equals to 8.1667
where,
49/6 is a given fraction,
The decimal expansion of 49/6 is 8.1667
49/6 as a Mixed Number
49/6 = (48 + 1)/6
= 48/6 + 1/6
= 8 + 1/6
= 8 1/6
49/6 = 8 1/6
Hence,
49/6 as a mixed number is 8 1/6
where,
49/6 is a given fraction,
8 1/6 is the mixed number representation of 49/6.
How-to: 49/6 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 49/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 49/6
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 49/6.
step 2 The numerator is greater than the denominator of the fraction 49/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 49/6
= 48 + 1/6
= (8 x 6) + 1/6
step 3 Make the above expression as individual fractions:
= (8 x 6)/6 + 1/6
step 4 Simplify the above expression:
= 8 x 6/6 + 1/6
= 8 + 1/6
8 + 1/6 can be written as a mixed number 8 1/6.
step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/6. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/6.
= 8 + (1/6 x 10/10)
step 6 Simplify the above expression further:
= 8 + (10/6 x 1/10)
= 8 + (6 + 4/6 x 1/10)
= 8 + [(6/6 + 4/6 ) x 1/10]
= 8 + [(1 + 4/6) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/6 in the above expression:
= 8 + [(1 + 4/6) x 1/10]
= 8 + [(1 + 0.67) x 1/10]
= 8 + (1.67 x 1/10)
= 8 + 1.67/10
= 8 + 0.167
step 8 Find the sum of above expression:
= 8 + 0.167
= 8.167
49/6 = 8.167
Hence,
49/6 as a decimal is 8.167
49/6 as a mixed number is 8 1/6