160/159 as a Decimal and Mixed Number

160/159 as a decimal and mixed number expansion provides the detailed information about what is 160/159 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/159 as a Decimal
160/159 = 1.0063
Hence,
160/159 as a decimal equals to 1.0063
where,
160/159 is a given fraction,
The decimal expansion of 160/159 is 1.0063

160/159 as a Mixed Number
160/159 = (159 + 1)/159
= 159/159 + 1/159
= 1 + 1/159
= 1 1/159
160/159 = 1 1/159

Hence,
160/159 as a mixed number is 1 ¹/₁₅₉
where,
160/159 is a given fraction,
1 ¹/₁₅₉ is the mixed number representation of 160/159.

The below work with steps provide the detailed information about how to convert fraction 160/159 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/159

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/159.

step 2 The numerator is greater than the denominator of the fraction 160/159, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/159
= 159 + 1/159

step 3 Make the above expression as individual fractions:
= 159/159 + 1/159

step 4 Simplify the above expression:
= 1 + 1/159
1 + 1/159 can be written as a mixed number 1 ¹/₁₅₉


step 5 Find the decimal equivalent for the fractional part 1/159 in the above expression:
= 1 + 0.0063
= 1.0063
160/159 = 1.0063

Hence,
160/159 as a decimal is 1.0063
160/159 as a mixed number is 1 ¹/₁₅₉