62/11 as a Decimal and Mixed Number
62/11 as a decimal and mixed number expansion provides the detailed information about what is 62/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
62/11 as a Decimal Expansion
62/11 = 5.6364
Hence,
62/11 as a decimal equals to 5.6364
where,
62/11 is a given fraction,
The decimal expansion of 62/11 is 5.6364
62/11 as a Mixed Number
62/11 = (55 + 7)/11
= 55/11 + 7/11
= 5 + 7/11
= 5 7/11
62/11 = 5 7/11
Hence,
62/11 as a mixed number is 5 7/11
where,
62/11 is a given fraction,
5 7/11 is the mixed number representation of 62/11.
How-to: 62/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 62/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 62/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 62/11.
step 2 The numerator is greater than the denominator of the fraction 62/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 62/11
= 55 + 7/11
= (5 x 11) + 7/11
step 3 Make the above expression as individual fractions:
= (5 x 11)/11 + 7/11
step 4 Simplify the above expression:
= 5 x 11/11 + 7/11
= 5 + 7/11
5 + 7/11 can be written as a mixed number 5 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.
= 5 + (7/11 x 100/100)
step 6 Simplify the above expression further:
= 5 + (700/11 x 1/100)
= 5 + (693 + 7/11 x 1/100)
= 5 + [(693/11 + 7/11 ) x 1/100]
= 5 + [(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:
= 5 + [(63 + 7/11) x 1/100]
= 5 + [(63 + 0.64) x 1/100]
= 5 + (63.64 x 1/100)
= 5 + 63.64/100
= 5 + 0.6364
step 8 Find the sum of above expression:
= 5 + 0.6364
= 5.6364
62/11 = 5.6364
Hence,
62/11 as a decimal is 5.6364
62/11 as a mixed number is 5 7/11