163/160 as a Decimal and Mixed Number

163/160 as a decimal and mixed number expansion provides the detailed information about what is 163/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

163/160 as a Decimal
163/160 = 1.0188
Hence,
163/160 as a decimal equals to 1.0188
where,
163/160 is a given fraction,
The decimal expansion of 163/160 is 1.0188

163/160 as a Mixed Number
163/160 = (160 + 3)/160
= 160/160 + 3/160
= 1 + 3/160
= 1 3/160
163/160 = 1 3/160

Hence,
163/160 as a mixed number is 1 ³/₁₆₀
where,
163/160 is a given fraction,
1 ³/₁₆₀ is the mixed number representation of 163/160.

The below work with steps provide the detailed information about how to convert fraction 163/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 163/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 163/160.

step 2 The numerator is greater than the denominator of the fraction 163/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 163/160
= 160 + 3/160

step 3 Make the above expression as individual fractions:
= 160/160 + 3/160

step 4 Simplify the above expression:
= 1 x 160/160 + 3/160
= 1 + 3/160
1 + 3/160 can be written as a mixed number 1 ³/₁₆₀.


step 5 Find the decimal equivalent for the fractional part 3/160 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (3/160 x 625/625)
= 1 + 1875/100000

step 6 Simplify the above expression further:
= 1 + 0.01875
= 1.01875
163/160 = 1.01875

Hence,
163/160 as a decimal is 1.01875
163/160 as a mixed number is 1 ³/₁₆₀