18/11 as a Decimal and Mixed Number
18/11 as a decimal and mixed number expansion provides the detailed information about what is 18/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
18/11 as a Decimal Expansion
18/11 = 1.6364
Hence,
18/11 as a decimal equals to 1.6364
where,
18/11 is a given fraction,
The decimal expansion of 18/11 is 1.6364
18/11 as a Mixed Number
18/11 = (11 + 7)/11
= 11/11 + 7/11
= 1 + 7/11
= 1 7/11
18/11 = 1 7/11
Hence,
18/11 as a mixed number is 1 7/11
where,
18/11 is a given fraction,
1 7/11 is the mixed number representation of 18/11.
How-to: 18/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 18/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 18/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 18/11.
step 2 The numerator is greater than the denominator of the fraction 18/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 18/11
= 11 + 7/11
step 3 Make the above expression as individual fractions:
= 11/11 + 7/11
step 4 Simplify the above expression:
= 1 x 11/11 + 7/11
= 1 + 7/11
1 + 7/11 can be written as a mixed number 1 7/11.
step 5 Find the decimal equivalent for the fractional part 7/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/11.
= 1 + (7/11 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/11 x 1/100)
= 1 + (693 + 7/11 x 1/100)
= 1 + [(693/11 + 7/11 ) x 1/100]
= 1 + [(63 + 7/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 7/11 in the above expression:
= 1 + [(63 + 7/11) x 1/100]
= 1 + [(63 + 0.64) x 1/100]
= 1 + (63.64 x 1/100)
= 1 + 63.64/100
= 1 + 0.6364
step 8 Find the sum of above expression:
= 1 + 0.6364
= 1.6364
18/11 = 1.6364
Hence,
18/11 as a decimal is 1.6364
18/11 as a mixed number is 1 7/11