160/105 as a Decimal and Mixed Number

160/105 as a decimal and mixed number expansion provides the detailed information about what is 160/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/105 as a Decimal
160/105 = 1.5238
Hence,
160/105 as a decimal equals to 1.5238
where,
160/105 is a given fraction,
The decimal expansion of 160/105 is 1.5238

160/105 as a Mixed Number
160/105 = (105 + 55)/105
= 105/105 + 55/105
= 1 + 55/105
= 1 55/105
160/105 = 1 55/105

Hence,
160/105 as a mixed number is 1 ⁵⁵/₁₀₅
where,
160/105 is a given fraction,
1 ⁵⁵/₁₀₅ is the mixed number representation of 160/105.

The below work with steps provide the detailed information about how to convert fraction 160/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/105.

step 2 The numerator is greater than the denominator of the fraction 160/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/105
= 105 + 55/105

step 3 Make the above expression as individual fractions:
= 105/105 + 55/105

step 4 Simplify the above expression:
= 1 x 105/105 + 55/105
= 1 + 55/105
= 1 + 11 x 5/21 x 5
= 1 + 11/21
1 + 11/21 can be written as a mixed number 1 ¹¹/₂₁.


step 5 Find the decimal equivalent for the fractional part 11/21 in the above expression:
= 1 + 0.5238
= 1.5238
160/105 = 1.5238

Hence,
160/105 as a decimal is 1.5238
160/105 as a mixed number is 1 ¹¹/₂₁