166/120 as a Decimal and Mixed Number

166/120 as a decimal and mixed number expansion provides the detailed information about what is 166/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

166/120 as a Decimal
166/120 = 1.3833
Hence,
166/120 as a decimal equals to 1.3833
where,
166/120 is a given fraction,
The decimal expansion of 166/120 is 1.3833

166/120 as a Mixed Number
166/120 = (120 + 46)/120
= 120/120 + 46/120
= 1 + 46/120
= 1 46/120
166/120 = 1 46/120

Hence,
166/120 as a mixed number is 1 ⁴⁶/₁₂₀
where,
166/120 is a given fraction,
1 ⁴⁶/₁₂₀ is the mixed number representation of 166/120.

The below work with steps provide the detailed information about how to convert fraction 166/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 166/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 166/120.

step 2 The numerator is greater than the denominator of the fraction 166/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 166/120
= 120 + 46/120

step 3 Make the above expression as individual fractions:
= 120/120 + 46/120

step 4 Simplify the above expression:
= 1 x 120/120 + 46/120
= 1 + 46/120
= 1 + 23 x 2/60 x 2
= 1 + 23/60
1 + 23/60 can be written as a mixed number 1 ²³/₆₀.


step 5 Find the decimal equivalent for the fractional part 23/60 in the above expression:
= 1 + 0.3833
= 1.3833
166/120 = 1.3833

Hence,
166/120 as a decimal is 1.3833
166/120 as a mixed number is 1 ²³/₆₀