335/320 as a Decimal and Mixed Number

335/320 as a decimal and mixed number expansion provides the detailed information about what is 335/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

335/320 as a Decimal
335/320 = 1.0469
Hence,
335/320 as a decimal equals to 1.0469
where,
335/320 is a given fraction,
The decimal expansion of 335/320 is 1.0469

335/320 as a Mixed Number
335/320 = (320 + 15)/320
= 320/320 + 15/320
= 1 + 15/320
= 1 15/320
335/320 = 1 15/320

Hence,
335/320 as a mixed number is 1 ¹⁵/₃₂₀
where,
335/320 is a given fraction,
1 ¹⁵/₃₂₀ is the mixed number representation of 335/320.

The below work with steps provide the detailed information about how to convert fraction 335/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 335/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 335/320.

step 2 The numerator is greater than the denominator of the fraction 335/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 335/320
= 320 + 15/320

step 3 Make the above expression as individual fractions:
= 320/320 + 15/320

step 4 Simplify the above expression:
= 1 x 320/320 + 15/320
= 1 + 15/320
= 1 + 3 x 5/64 x 5
= 1 + 3/64
1 + 3/64 can be written as a mixed number 1 ³/₆₄.


step 5 Find the decimal equivalent for the fractional part 3/64 in the above expression:
= 1 + 0.0469
= 1.0469
335/320 = 1.0469

Hence,
335/320 as a decimal is 1.0469
335/320 as a mixed number is 1 ³/₆₄