143/145 as a Decimal

143/145 as a decimal expansion provides the detailed information about what is 143/145 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

143/145 as a Decimal
143/145 = 0.9862
Hence,
143/145 as a decimal equals to 0.9862
where,
143/145 is a given fraction,
The decimal expansion of 143/145 is 0.9862

143/145 as a Mixed Number
The given fraction 143/145 can't be represented as a mixed number since the numerator 143 of the given fraction is smaller than the denominator 145.

The below work with steps provide the detailed information about how to convert fraction 143/145 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 143/145

What to be found:
Find the decimal expansion of fraction 143/145.

step 2 The numerator is smaller than the denominator of the fraction 143/145, 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 143/145.
= 143/145 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 143/145 x 1/10
= 1430/145 x 1/10

step 4 Simplify the above expression further:
= 1430/145 x 1/10
= 1305 + 125/145 x 1/10
= ( 1305/145 + 125/145) x 1/10
= (9 + 125/145 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 125/145 in the above expression:
= (9 + 125/145 ) x 1/10
= (9 + 0.862) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.862) x 1/10
= 9.862 x 1/10
= 9.862/10
143/145= 0.9862

Hence,
143/145 as a decimal is 0.9862