45/11 as a Decimal and Mixed Number
45/11 as a decimal and mixed number expansion provides the detailed information about what is 45/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
45/11 as a Decimal Expansion
45/11 = 4.0909
Hence,
45/11 as a decimal equals to 4.0909
where,
45/11 is a given fraction,
The decimal expansion of 45/11 is 4.0909
45/11 as a Mixed Number
45/11 = (44 + 1)/11
= 44/11 + 1/11
= 4 + 1/11
= 4 1/11
45/11 = 4 1/11
Hence,
45/11 as a mixed number is 4 1/11
where,
45/11 is a given fraction,
4 1/11 is the mixed number representation of 45/11.
How-to: 45/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 45/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 45/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 45/11.
step 2 The numerator is greater than the denominator of the fraction 45/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 45/11
= 44 + 1/11
= (4 x 11) + 1/11
step 3 Make the above expression as individual fractions:
= (4 x 11)/11 + 1/11
step 4 Simplify the above expression:
= 4 x 11/11 + 1/11
= 4 + 1/11
4 + 1/11 can be written as a mixed number 4 1/11.
step 5 Find the decimal equivalent for the fractional part 1/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/11.
= 4 + (1/11 x 100/100)
step 6 Simplify the above expression further:
= 4 + (100/11 x 1/100)
= 4 + (99 + 1/11 x 1/100)
= 4 + [(99/11 + 1/11 ) x 1/100]
= 4 + [(9 + 1/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/11 in the above expression:
= 4 + [(9 + 1/11) x 1/100]
= 4 + [(9 + 0.09) x 1/100]
= 4 + (9.09 x 1/100)
= 4 + 9.09/100
= 4 + 0.0909
step 8 Find the sum of above expression:
= 4 + 0.0909
= 4.0909
45/11 = 4.0909
Hence,
45/11 as a decimal is 4.0909
45/11 as a mixed number is 4 1/11