342/166 as a decimal and mixed number expansion provides the detailed information about what is 342/166 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
342/166 as a Decimal
342/166 = 2.0602
Hence,
342/166 as a decimal equals to 2.0602
where,
342/166 is a given fraction,
The decimal expansion of 342/166 is 2.0602
342/166 as a Mixed Number
342/166 = (332 + 10)/166
= 332/166 + 10/166
= 2 + 10/166
= 2 10/166
342/166 = 2 10/166
Hence,
342/166 as a mixed number is 2 10/166
where,
342/166 is a given fraction,
2 10/166 is the mixed number representation of 342/166.
The below work with steps provide the detailed information about how to convert fraction 342/166 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 342/166
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 342/166.
step 2 The numerator is greater than the denominator of the fraction 342/166, so write the given fraction in the expression form in terms of denominator as like the below:
= 342/166
= 332 + 10/166
= (2 x 166) + 10/166
step 3 Make the above expression as individual fractions:
= (2 x 166)/166 + 10/166
step 4 Simplify the above expression:
= 2 x 166/166 + 10/166
= 2 + 10/166
= 2 + 5 x 2/83 x 2
= 2 + 5/83
2 + 5/83 can be written as a mixed number 2 5/83.
step 5 Find the decimal equivalent for the fractional part 5/83 in the above expression:
= 2 + 0.0602
= 2.0602
342/166 = 2.0602
Hence,
342/166 as a decimal is 2.0602
342/166 as a mixed number is 2 5/83