63/11 as a Decimal and Mixed Number
63/11 as a decimal and mixed number expansion provides the detailed information about what is 63/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
63/11 as a Decimal Expansion
63/11 = 5.7273
Hence,
63/11 as a decimal equals to 5.7273
where,
63/11 is a given fraction,
The decimal expansion of 63/11 is 5.7273
63/11 as a Mixed Number
63/11 = (55 + 8)/11
= 55/11 + 8/11
= 5 + 8/11
= 5 8/11
63/11 = 5 8/11
Hence,
63/11 as a mixed number is 5 8/11
where,
63/11 is a given fraction,
5 8/11 is the mixed number representation of 63/11.
How-to: 63/11 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 63/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/11
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 63/11.
step 2 The numerator is greater than the denominator of the fraction 63/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 63/11
= 55 + 8/11
= (5 x 11) + 8/11
step 3 Make the above expression as individual fractions:
= (5 x 11)/11 + 8/11
step 4 Simplify the above expression:
= 5 x 11/11 + 8/11
= 5 + 8/11
5 + 8/11 can be written as a mixed number 5 8/11.
step 5 Find the decimal equivalent for the fractional part 8/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 8/11.
= 5 + (8/11 x 100/100)
step 6 Simplify the above expression further:
= 5 + (800/11 x 1/100)
= 5 + (792 + 8/11 x 1/100)
= 5 + [(792/11 + 8/11 ) x 1/100]
= 5 + [(72 + 8/11) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 8/11 in the above expression:
= 5 + [(72 + 8/11) x 1/100]
= 5 + [(72 + 0.73) x 1/100]
= 5 + (72.73 x 1/100)
= 5 + 72.73/100
= 5 + 0.7273
step 8 Find the sum of above expression:
= 5 + 0.7273
= 5.7273
63/11 = 5.7273
Hence,
63/11 as a decimal is 5.7273
63/11 as a mixed number is 5 8/11