166/42 as a Decimal and Mixed Number

166/42 as a decimal and mixed number expansion provides the detailed information about what is 166/42 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/42 as a Decimal
166/42 = 3.9524
Hence,
166/42 as a decimal equals to 3.9524
where,
166/42 is a given fraction,
The decimal expansion of 166/42 is 3.9524

166/42 as a Mixed Number
166/42 = (126 + 40)/42
= 126/42 + 40/42
= 3 + 40/42
= 3 40/42
166/42 = 3 40/42

Hence,
166/42 as a mixed number is 3 ⁴⁰/₄₂
where,
166/42 is a given fraction,
3 ⁴⁰/₄₂ is the mixed number representation of 166/42.

The below work with steps provide the detailed information about how to convert fraction 166/42 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/42

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/42.

step 2 The numerator is greater than the denominator of the fraction 166/42, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/42
= 126 + 40/42
= (3 x 42) + 40/42

step 3 Make the above expression as individual fractions:
= (3 x 42)/42 + 40/42

step 4 Simplify the above expression:
= 3 x 42/42 + 40/42
= 3 + 40/42
= 3 + 20 x 2/21 x 2
= 3 + 20/21
3 + 20/21 can be written as a mixed number 3 ²⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 20/21 in the above expression:
= 3 + 0.9524
= 3.9524
166/42 = 3.9524

Hence,
166/42 as a decimal is 3.9524
166/42 as a mixed number is 3 ²⁰/₂₁