17/45 as a Decimal

17/45 as a decimal expansion provides the detailed information about what is 17/45 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

17/45 as a Decimal Expansion
17/45 = 0.3778
Hence,
17/45 as a decimal equals to 0.3778
where,
17/45 is a given fraction,
The decimal expansion of 17/45 is 0.3778

17/45 as a Mixed Number
The given fraction 17/45 can't be represented as a mixed number since the numerator 17 of the given fraction is smaller than the denominator 45.

The below work with steps provide the detailed information about how to convert fraction 17/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 17/45

What to be found:
Find the decimal expansion of fraction 17/45.

step 2 The numerator is smaller than the denominator of the fraction 17/45, 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 17/45.
= 17/45 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 17/45 x 1/10
= 170/45 x 1/10

step 4 Simplify the above expression further:
= 170/45 x 1/10
= 135 + 35/45 x 1/10
= ( 135/45 + 35/45) x 1/10
= (3 + 35/45 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 35/45 in the above expression:
= (3 + 35/45 ) x 1/10
= (3 + 0.778) x 1/10

step 6 Simplify the above expression further:
= (3 + 0.778) x 1/10
= 3.778 x 1/10
= 3.778/10
17/45= 0.3778

Hence,
17/45 as a decimal is 0.3778