46/9 as a Decimal and Mixed Number
46/9 as a decimal and mixed number expansion provides the detailed information about what is 46/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
46/9 as a Decimal Expansion
46/9 = 5.1111
Hence,
46/9 as a decimal equals to 5.1111
where,
46/9 is a given fraction,
The decimal expansion of 46/9 is 5.1111
46/9 as a Mixed Number
46/9 = (45 + 1)/9
= 45/9 + 1/9
= 5 + 1/9
= 5 1/9
46/9 = 5 1/9
Hence,
46/9 as a mixed number is 5 1/9
where,
46/9 is a given fraction,
5 1/9 is the mixed number representation of 46/9.
How-to: 46/9 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 46/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 46/9
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 46/9.
step 2 The numerator is greater than the denominator of the fraction 46/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 46/9
= 45 + 1/9
= (5 x 9) + 1/9
step 3 Make the above expression as individual fractions:
= (5 x 9)/9 + 1/9
step 4 Simplify the above expression:
= 5 x 9/9 + 1/9
= 5 + 1/9
5 + 1/9 can be written as a mixed number 5 1/9.
step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/9. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/9.
= 5 + (1/9 x 10/10)
step 6 Simplify the above expression further:
= 5 + (10/9 x 1/10)
= 5 + (9 + 1/9 x 1/10)
= 5 + [(9/9 + 1/9 ) x 1/10]
= 5 + [(1 + 1/9) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/9 in the above expression:
= 5 + [(1 + 1/9) x 1/10]
= 5 + [(1 + 0.11) x 1/10]
= 5 + (1.11 x 1/10)
= 5 + 1.11/10
= 5 + 0.111
step 8 Find the sum of above expression:
= 5 + 0.111
= 5.111
46/9 = 5.111
Hence,
46/9 as a decimal is 5.111
46/9 as a mixed number is 5 1/9