10/168 as a decimal expansion provides the detailed information about what is 10/168 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
10/168 as a Decimal
10/168 = 0.0595
Hence,
10/168 as a decimal equals to 0.0595
where,
10/168 is a given fraction,
The decimal expansion of 10/168 is 0.0595
10/168 as a Mixed Number
The given fraction 10/168 can't be represented as a mixed number since the numerator 10 of the given fraction is smaller than the denominator 168.
The below work with steps provide the detailed information about how to convert fraction 10/168 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 10/168
What to be found:
Find the decimal expansion of fraction 10/168.
step 2 The numerator is smaller than the denominator of the fraction 10/168, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 10/168.
= 10/168 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 10/168 x 1/100
= 1000/168 x 1/100
step 4 Simplify the above expression further:
= 1000/168 x 1/100
= 840 + 160/168 x 1/100
= ( 840/168 + 160/168) x 1/100
= (5 + 160/168 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 160/168 in the above expression:
= (5 + 160/168 ) x 1/100
= (5 + 0.952) x 1/100
step 6 Simplify the above expression further:
= (5 + 0.952) x 1/100
= 5.952 x 1/100
= 5.952/100
10/168= 0.05952
Hence,
10/168 as a decimal is 0.05952