35/46 as a Decimal
35/46 as a decimal expansion provides the detailed information about what is 35/46 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
35/46 as a Decimal Expansion
35/46 = 0.7609
Hence,
35/46 as a decimal equals to 0.7609
where,
35/46 is a given fraction,
The decimal expansion of 35/46 is 0.7609
35/46 as a Mixed Number
The given fraction 35/46 can't be represented as a mixed number since the numerator 35 of the given fraction is smaller than the denominator 46.
How-to: 35/46 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 35/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 35/46
What to be found:
Find the decimal expansion of fraction 35/46.
step 2 The numerator is smaller than the denominator of the fraction 35/46, 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 35/46.
= 35/46 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 35/46 x 1/10
= 350/46 x 1/10
step 4 Simplify the above expression further:
= 350/46 x 1/10
= 322 + 28/46 x 1/10
= ( 322/46 + 28/46) x 1/10
= (7 + 28/46 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 28/46 in the above expression:
= (7 + 28/46 ) x 1/10
= (7 + 0.609) x 1/10
step 6 Simplify the above expression further:
= (7 + 0.609) x 1/10
= 7.609 x 1/10
= 7.609/10
35/46= 0.7609
Hence,
35/46 as a decimal is 0.7609
