33/46 as a Decimal
33/46 as a decimal expansion provides the detailed information about what is 33/46 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
33/46 as a Decimal Expansion
33/46 = 0.7174
Hence,
33/46 as a decimal equals to 0.7174
where,
33/46 is a given fraction,
The decimal expansion of 33/46 is 0.7174
33/46 as a Mixed Number
The given fraction 33/46 can't be represented as a mixed number since the numerator 33 of the given fraction is smaller than the denominator 46.
How-to: 33/46 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 33/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 33/46
What to be found:
Find the decimal expansion of fraction 33/46.
step 2 The numerator is smaller than the denominator of the fraction 33/46, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 33/46.
= 33/46 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 33/46 x 1/10
= 330/46 x 1/10
step 4 Simplify the above expression further:
= 330/46 x 1/10
= 322 + 8/46 x 1/10
= ( 322/46 + 8/46) x 1/10
= (7 + 8/46 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 8/46 in the above expression:
= (7 + 8/46 ) x 1/10
= (7 + 0.174) x 1/10
step 6 Simplify the above expression further:
= (7 + 0.174) x 1/10
= 7.174 x 1/10
= 7.174/10
33/46= 0.7174
Hence,
33/46 as a decimal is 0.7174
