44/6 as a Decimal and Mixed Number

44/6 as a decimal and mixed number expansion provides the detailed information about what is 44/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

44/6 as a Decimal
44/6 = 7.3333
Hence,
44/6 as a decimal equals to 7.3333
where,
44/6 is a given fraction,
The decimal expansion of 44/6 is 7.3333

44/6 as a Mixed Number
44/6 = (42 + 2)/6
= 42/6 + 2/6
= 7 + 2/6
= 7 2/6
44/6 = 7 2/6

Hence,
44/6 as a mixed number is 7 ²/₆
where,
44/6 is a given fraction,
7 ²/₆ is the mixed number representation of 44/6.

The below work with steps provide the detailed information about how to convert fraction 44/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 44/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 44/6.

step 2 The numerator is greater than the denominator of the fraction 44/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 44/6
= 42 + 2/6
= (7 x 6) + 2/6

step 3 Make the above expression as individual fractions:
= (7 x 6)/6 + 2/6

step 4 Simplify the above expression:
= 7 x 6/6 + 2/6
= 7 + 2/6
= 7 + 1 x 2/3 x 2
= 7 + 1/3
7 + 1/3 can be written as a mixed number 7 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 7 + 0.3333
= 7.3333
44/6 = 7.3333

Hence,
44/6 as a decimal is 7.3333
44/6 as a mixed number is 7 ¹/₃