33/14 as a Decimal and Mixed Number

33/14 as a decimal and mixed number expansion provides the detailed information about what is 33/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

33/14 as a Decimal Expansion
33/14 = 2.3571
Hence,
33/14 as a decimal equals to 2.3571
where,
33/14 is a given fraction,
The decimal expansion of 33/14 is 2.3571

33/14 as a Mixed Number
33/14 = (28 + 5)/14
= 28/14 + 5/14
= 2 + 5/14
= 2 5/14
33/14 = 2 5/14

Hence,
33/14 as a mixed number is 2 ⁵/₁₄
where,
33/14 is a given fraction,
2 ⁵/₁₄ is the mixed number representation of 33/14.

The below work with steps provide the detailed information about how to convert fraction 33/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/14

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 33/14.

step 2 The numerator is greater than the denominator of the fraction 33/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 33/14
= 28 + 5/14
= (2 x 14) + 5/14

step 3 Make the above expression as individual fractions:
= (2 x 14)/14 + 5/14

step 4 Simplify the above expression:
= 2 x 14/14 + 5/14
= 2 + 5/14
2 + 5/14 can be written as a mixed number 2 ⁵/₁₄.


step 5 Find the decimal equivalent for the fractional part 5/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/14. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/14.
= 2 + (5/14 x 100/100)

step 6 Simplify the above expression further:
= 2 + (500/14 x 1/100)
= 2 + (490 + 10/14 x 1/100)
= 2 + [(490/14 + 10/14 ) x 1/100]
= 2 + [(35 + 10/14) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/14 in the above expression:
= 2 + [(35 + 10/14) x 1/100]
= 2 + [(35 + 0.71) x 1/100]
= 2 + (35.71 x 1/100)
= 2 + 35.71/100
= 2 + 0.3571

step 8 Find the sum of above expression:
= 2 + 0.3571
= 2.3571
33/14 = 2.3571

Hence,
33/14 as a decimal is 2.3571
33/14 as a mixed number is 2 ⁵/₁₄