15/11 as a decimal and mixed number expansion provides the detailed information about what is 15/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
15/11 as a Decimal Expansion
15/11 = 1.3636
Hence,
15/11 as a decimal equals to 1.3636
where,
15/11 is a given fraction,
The decimal expansion of 15/11 is 1.3636
15/11 as a Mixed Number
15/11 = (11 + 4)/11
= 11/11 + 4/11
= 1 + 4/11
= 1 4/11
15/11 = 1 4/11
Hence,
15/11 as a mixed number is 1 4/11
where,
15/11 is a given fraction,
1 4/11 is the mixed number representation of 15/11.
The below work with steps provide the detailed information about how to convert fraction 15/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 15/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 15/11.
step 2 The numerator is greater than the denominator of the fraction 15/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 15/11
= 11 + 4/11
step 3 Make the above expression as individual fractions:
= 11/11 + 4/11
step 4 Simplify the above expression:
= 1 x 11/11 + 4/11
= 1 + 4/11
1 + 4/11 can be written as a mixed number 1 4/11.
step 5 Find the decimal equivalent for the fractional part 4/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/11.
= 1 + (4/11 x 100/100)
step 6 Simplify the above expression further:
= 1 + (400/11 x 1/100)
= 1 + (396 + 4/11 x 1/100)
= 1 + [(396/11 + 4/11 ) x 1/100]
= 1 + [(36 + 4/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/11 in the above expression:
= 1 + [(36 + 4/11) x 1/100]
= 1 + [(36 + 0.36) x 1/100]
= 1 + (36.36 x 1/100)
= 1 + 36.36/100
= 1 + 0.3636
step 8 Find the sum of above expression:
= 1 + 0.3636
= 1.3636
15/11 = 1.3636
Hence,
15/11 as a decimal is 1.3636
15/11 as a mixed number is 1 4/11