44/15 as a Decimal and Mixed Number
44/15 as a decimal and mixed number expansion provides the detailed information about what is 44/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
44/15 as a Decimal Expansion
44/15 = 2.9333
Hence,
44/15 as a decimal equals to 2.9333
where,
44/15 is a given fraction,
The decimal expansion of 44/15 is 2.9333
44/15 as a Mixed Number
44/15 = (30 + 14)/15
= 30/15 + 14/15
= 2 + 14/15
= 2 14/15
44/15 = 2 14/15
Hence,
44/15 as a mixed number is 2 14/15
where,
44/15 is a given fraction,
2 14/15 is the mixed number representation of 44/15.
How-to: 44/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 44/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 44/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 44/15.
step 2 The numerator is greater than the denominator of the fraction 44/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 44/15
= 30 + 14/15
= (2 x 15) + 14/15
step 3 Make the above expression as individual fractions:
= (2 x 15)/15 + 14/15
step 4 Simplify the above expression:
= 2 x 15/15 + 14/15
= 2 + 14/15
2 + 14/15 can be written as a mixed number 2 14/15.
step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 14/15. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 14/15.
= 2 + (14/15 x 10/10)
step 6 Simplify the above expression further:
= 2 + (140/15 x 1/10)
= 2 + (135 + 5/15 x 1/10)
= 2 + [(135/15 + 5/15 ) x 1/10]
= 2 + [(9 + 5/15) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/15 in the above expression:
= 2 + [(9 + 5/15) x 1/10]
= 2 + [(9 + 0.33) x 1/10]
= 2 + (9.33 x 1/10)
= 2 + 9.33/10
= 2 + 0.933
step 8 Find the sum of above expression:
= 2 + 0.933
= 2.933
44/15 = 2.933
Hence,
44/15 as a decimal is 2.933
44/15 as a mixed number is 2 14/15