50/11 as a Decimal and Mixed Number

50/11 as a decimal and mixed number expansion provides the detailed information about what is 50/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

50/11 as a Decimal Expansion
50/11 = 4.5455
Hence,
50/11 as a decimal equals to 4.5455
where,
50/11 is a given fraction,
The decimal expansion of 50/11 is 4.5455

50/11 as a Mixed Number
50/11 = (44 + 6)/11
= 44/11 + 6/11
= 4 + 6/11
= 4 6/11
50/11 = 4 6/11

Hence,
50/11 as a mixed number is 4 ⁶/₁₁
where,
50/11 is a given fraction,
4 ⁶/₁₁ is the mixed number representation of 50/11.

The below work with steps provide the detailed information about how to convert fraction 50/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 50/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 50/11.

step 2 The numerator is greater than the denominator of the fraction 50/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 50/11
= 44 + 6/11
= (4 x 11) + 6/11

step 3 Make the above expression as individual fractions:
= (4 x 11)/11 + 6/11

step 4 Simplify the above expression:
= 4 x 11/11 + 6/11
= 4 + 6/11
4 + 6/11 can be written as a mixed number 4 ⁶/₁₁.


step 5 Find the decimal equivalent for the fractional part 6/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 6/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 6/11.
= 4 + (6/11 x 100/100)

step 6 Simplify the above expression further:
= 4 + (600/11 x 1/100)
= 4 + (594 + 6/11 x 1/100)
= 4 + [(594/11 + 6/11 ) x 1/100]
= 4 + [(54 + 6/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/11 in the above expression:
= 4 + [(54 + 6/11) x 1/100]
= 4 + [(54 + 0.55) x 1/100]
= 4 + (54.55 x 1/100)
= 4 + 54.55/100
= 4 + 0.5455

step 8 Find the sum of above expression:
= 4 + 0.5455
= 4.5455
50/11 = 4.5455

Hence,
50/11 as a decimal is 4.5455
50/11 as a mixed number is 4 ⁶/₁₁