41/9 as a Decimal and Mixed Number
41/9 as a decimal and mixed number expansion provides the detailed information about what is 41/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
41/9 as a Decimal Expansion
41/9 = 4.5556
Hence,
41/9 as a decimal equals to 4.5556
where,
41/9 is a given fraction,
The decimal expansion of 41/9 is 4.5556
41/9 as a Mixed Number
41/9 = (36 + 5)/9
= 36/9 + 5/9
= 4 + 5/9
= 4 5/9
41/9 = 4 5/9
Hence,
41/9 as a mixed number is 4 5/9
where,
41/9 is a given fraction,
4 5/9 is the mixed number representation of 41/9.
How-to: 41/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 41/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 41/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 41/9.
step 2 The numerator is greater than the denominator of the fraction 41/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 41/9
= 36 + 5/9
= (4 x 9) + 5/9
step 3 Make the above expression as individual fractions:
= (4 x 9)/9 + 5/9
step 4 Simplify the above expression:
= 4 x 9/9 + 5/9
= 4 + 5/9
4 + 5/9 can be written as a mixed number 4 5/9.
step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/9.
= 4 + (5/9 x 10/10)
step 6 Simplify the above expression further:
= 4 + (50/9 x 1/10)
= 4 + (45 + 5/9 x 1/10)
= 4 + [(45/9 + 5/9 ) x 1/10]
= 4 + [(5 + 5/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/9 in the above expression:
= 4 + [(5 + 5/9) x 1/10]
= 4 + [(5 + 0.56) x 1/10]
= 4 + (5.56 x 1/10)
= 4 + 5.56/10
= 4 + 0.556
step 8 Find the sum of above expression:
= 4 + 0.556
= 4.556
41/9 = 4.556
Hence,
41/9 as a decimal is 4.556
41/9 as a mixed number is 4 5/9