34/33 as a decimal and mixed number expansion provides the detailed information about what is 34/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
34/33 as a Decimal Expansion
34/33 = 1.0303
Hence,
34/33 as a decimal equals to 1.0303
where,
34/33 is a given fraction,
The decimal expansion of 34/33 is 1.0303
34/33 as a Mixed Number
34/33 = (33 + 1)/33
= 33/33 + 1/33
= 1 + 1/33
= 1 1/33
34/33 = 1 1/33
Hence,
34/33 as a mixed number is 1 1/33
where,
34/33 is a given fraction,
1 1/33 is the mixed number representation of 34/33.
The below work with steps provide the detailed information about how to convert fraction 34/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 34/33
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 34/33.
step 2 The numerator is greater than the denominator of the fraction 34/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 34/33
= 33 + 1/33
step 3 Make the above expression as individual fractions:
= 33/33 + 1/33
step 4 Simplify the above expression:
= 1 + 1/33
1 + 1/33 can be written as a mixed number 1 1/33
step 5 Find the decimal equivalent for the fractional part 1/33 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/33. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 1/33.
= 1 + (1/33 x 100/100)
step 6 Simplify the above expression further:
= 1 + (100/33 x 1/100)
= 1 + (99 + 1/33 x 1/100)
= 1 + [(99/33 + 1/33 ) x 1/100]
= 1 + [(3 + 1/33) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/33 in the above expression:
= 1 + [(3 + 1/33) x 1/100]
= 1 + [(3 + 0.03) x 1/100]
= 1 + (3.03 x 1/100)
= 1 + 3.03/100
= 1 + 0.0303
step 8 Find the sum of above expression:
= 1 + 0.0303
= 1.0303
34/33 = 1.0303
Hence,
34/33 as a decimal is 1.0303
34/33 as a mixed number is 1 1/33