33/13 as a Decimal and Mixed Number
33/13 as a decimal and mixed number expansion provides the detailed information about what is 33/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
33/13 as a Decimal Expansion
33/13 = 2.5385
Hence,
33/13 as a decimal equals to 2.5385
where,
33/13 is a given fraction,
The decimal expansion of 33/13 is 2.5385
33/13 as a Mixed Number
33/13 = (26 + 7)/13
= 26/13 + 7/13
= 2 + 7/13
= 2 7/13
33/13 = 2 7/13
Hence,
33/13 as a mixed number is 2 7/13
where,
33/13 is a given fraction,
2 7/13 is the mixed number representation of 33/13.
How-to: 33/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 33/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 33/13.
step 2 The numerator is greater than the denominator of the fraction 33/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 33/13
= 26 + 7/13
= (2 x 13) + 7/13
step 3 Make the above expression as individual fractions:
= (2 x 13)/13 + 7/13
step 4 Simplify the above expression:
= 2 x 13/13 + 7/13
= 2 + 7/13
2 + 7/13 can be written as a mixed number 2 7/13.
step 5 Find the decimal equivalent for the fractional part 7/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/13.
= 2 + (7/13 x 100/100)
step 6 Simplify the above expression further:
= 2 + (700/13 x 1/100)
= 2 + (689 + 11/13 x 1/100)
= 2 + [(689/13 + 11/13 ) x 1/100]
= 2 + [(53 + 11/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 11/13 in the above expression:
= 2 + [(53 + 11/13) x 1/100]
= 2 + [(53 + 0.85) x 1/100]
= 2 + (53.85 x 1/100)
= 2 + 53.85/100
= 2 + 0.5385
step 8 Find the sum of above expression:
= 2 + 0.5385
= 2.5385
33/13 = 2.5385
Hence,
33/13 as a decimal is 2.5385
33/13 as a mixed number is 2 7/13