168/218 as a decimal expansion provides the detailed information about what is 168/218 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
168/218 as a Decimal
168/218 = 0.7706
Hence,
168/218 as a decimal equals to 0.7706
where,
168/218 is a given fraction,
The decimal expansion of 168/218 is 0.7706
168/218 as a Mixed Number
The given fraction 168/218 can't be represented as a mixed number since the numerator 168 of the given fraction is smaller than the denominator 218.
The below work with steps provide the detailed information about how to convert fraction 168/218 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 168/218
What to be found:
Find the decimal expansion of fraction 168/218.
step 2 The numerator is smaller than the denominator of the fraction 168/218, 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 168/218.
= 168/218 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 168/218 x 1/10
= 1680/218 x 1/10
step 4 Simplify the above expression further:
= 1680/218 x 1/10
= 1526 + 154/218 x 1/10
= ( 1526/218 + 154/218) x 1/10
= (7 + 154/218 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 154/218 in the above expression:
= (7 + 154/218 ) x 1/10
= (7 + 0.706) x 1/10
step 6 Simplify the above expression further:
= (7 + 0.706) x 1/10
= 7.706 x 1/10
= 7.706/10
168/218= 0.7706
Hence,
168/218 as a decimal is 0.7706