155/360 as a Decimal

155/360 as a decimal expansion provides the detailed information about what is 155/360 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

155/360 as a Decimal
155/360 = 0.4306
Hence,
155/360 as a decimal equals to 0.4306
where,
155/360 is a given fraction,
The decimal expansion of 155/360 is 0.4306

155/360 as a Mixed Number
The given fraction 155/360 can't be represented as a mixed number since the numerator 155 of the given fraction is smaller than the denominator 360.

The below work with steps provide the detailed information about how to convert fraction 155/360 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 155/360

What to be found:
Find the decimal expansion of fraction 155/360.

step 2 The numerator is smaller than the denominator of the fraction 155/360, 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 155/360.
= 155/360 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 155/360 x 1/10
= 1550/360 x 1/10

step 4 Simplify the above expression further:
= 1550/360 x 1/10
= 1440 + 110/360 x 1/10
= ( 1440/360 + 110/360) x 1/10
= (4 + 110/360 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 110/360 in the above expression:
= (4 + 110/360 ) x 1/10
= (4 + 0.306) x 1/10

step 6 Simplify the above expression further:
= (4 + 0.306) x 1/10
= 4.306 x 1/10
= 4.306/10
155/360= 0.4306

Hence,
155/360 as a decimal is 0.4306