40/11 as a Decimal and Mixed Number
40/11 as a decimal and mixed number expansion provides the detailed information about what is 40/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
40/11 as a Decimal Expansion
40/11 = 3.6364
Hence,
40/11 as a decimal equals to 3.6364
where,
40/11 is a given fraction,
The decimal expansion of 40/11 is 3.6364
40/11 as a Mixed Number
40/11 = (33 + 7)/11
= 33/11 + 7/11
= 3 + 7/11
= 3 7/11
40/11 = 3 7/11
Hence,
40/11 as a mixed number is 3 7/11
where,
40/11 is a given fraction,
3 7/11 is the mixed number representation of 40/11.
How-to: 40/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 40/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/11.
step 2 The numerator is greater than the denominator of the fraction 40/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/11
= 33 + 7/11
= (3 x 11) + 7/11
step 3 Make the above expression as individual fractions:
= (3 x 11)/11 + 7/11
step 4 Simplify the above expression:
= 3 x 11/11 + 7/11
= 3 + 7/11
3 + 7/11 can be written as a mixed number 3 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.
= 3 + (7/11 x 100/100)
step 6 Simplify the above expression further:
= 3 + (700/11 x 1/100)
= 3 + (693 + 7/11 x 1/100)
= 3 + [(693/11 + 7/11 ) x 1/100]
= 3 + [(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:
= 3 + [(63 + 7/11) x 1/100]
= 3 + [(63 + 0.64) x 1/100]
= 3 + (63.64 x 1/100)
= 3 + 63.64/100
= 3 + 0.6364
step 8 Find the sum of above expression:
= 3 + 0.6364
= 3.6364
40/11 = 3.6364
Hence,
40/11 as a decimal is 3.6364
40/11 as a mixed number is 3 7/11