262/160 as a Decimal and Mixed Number

262/160 as a decimal and mixed number expansion provides the detailed information about what is 262/160 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

262/160 as a Decimal
262/160 = 1.6375
Hence,
262/160 as a decimal equals to 1.6375
where,
262/160 is a given fraction,
The decimal expansion of 262/160 is 1.6375

262/160 as a Mixed Number
262/160 = (160 + 102)/160
= 160/160 + 102/160
= 1 + 102/160
= 1 102/160
262/160 = 1 102/160

Hence,
262/160 as a mixed number is 1 ¹⁰²/₁₆₀
where,
262/160 is a given fraction,
1 ¹⁰²/₁₆₀ is the mixed number representation of 262/160.

The below work with steps provide the detailed information about how to convert fraction 262/160 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 262/160

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 262/160.

step 2 The numerator is greater than the denominator of the fraction 262/160, so write the given fraction in the expression form in terms of denominator as like the below:
= 262/160
= 160 + 102/160

step 3 Make the above expression as individual fractions:
= 160/160 + 102/160

step 4 Simplify the above expression:
= 1 x 160/160 + 102/160
= 1 + 102/160
= 1 + 51 x 2/80 x 2
= 1 + 51/80
1 + 51/80 can be written as a mixed number 1 ⁵¹/₈₀.


step 5 Find the decimal equivalent for the fractional part 51/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 1 + (51/80 x 125/125)
= 1 + 6375/10000

step 6 Simplify the above expression further:
= 1 + 0.6375
= 1.6375
262/160 = 1.6375

Hence,
262/160 as a decimal is 1.6375
262/160 as a mixed number is 1 ⁵¹/₈₀