164/160 as a Decimal and Mixed Number

164/160 as a decimal and mixed number expansion provides the detailed information about what is 164/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

164/160 as a Decimal
164/160 = 1.025
Hence,
164/160 as a decimal equals to 1.025
where,
164/160 is a given fraction,
The decimal expansion of 164/160 is 1.025

164/160 as a Mixed Number
164/160 = (160 + 4)/160
= 160/160 + 4/160
= 1 + 4/160
= 1 4/160
164/160 = 1 4/160

Hence,
164/160 as a mixed number is 1 ⁴/₁₆₀
where,
164/160 is a given fraction,
1 ⁴/₁₆₀ is the mixed number representation of 164/160.

The below work with steps provide the detailed information about how to convert fraction 164/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 164/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 164/160.

step 2 The numerator is greater than the denominator of the fraction 164/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 164/160
= 160 + 4/160

step 3 Make the above expression as individual fractions:
= 160/160 + 4/160

step 4 Simplify the above expression:
= 1 x 160/160 + 4/160
= 1 + 4/160
= 1 + 1 x 4/40 x 4
= 1 + 1/40
1 + 1/40 can be written as a mixed number 1 ¹/₄₀.


step 5 Find the decimal equivalent for the fractional part 1/40 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/40 x 25/25)
= 1 + 25/1000

step 6 Simplify the above expression further:
= 1 + 0.025
= 1.025
164/160 = 1.025

Hence,
164/160 as a decimal is 1.025
164/160 as a mixed number is 1 ¹/₄₀