345/320 as a Decimal and Mixed Number

345/320 as a decimal and mixed number expansion provides the detailed information about what is 345/320 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/320 as a Decimal
345/320 = 1.0781
Hence,
345/320 as a decimal equals to 1.0781
where,
345/320 is a given fraction,
The decimal expansion of 345/320 is 1.0781

345/320 as a Mixed Number
345/320 = (320 + 25)/320
= 320/320 + 25/320
= 1 + 25/320
= 1 25/320
345/320 = 1 25/320

Hence,
345/320 as a mixed number is 1 ²⁵/₃₂₀
where,
345/320 is a given fraction,
1 ²⁵/₃₂₀ is the mixed number representation of 345/320.

The below work with steps provide the detailed information about how to convert fraction 345/320 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/320

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/320.

step 2 The numerator is greater than the denominator of the fraction 345/320, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/320
= 320 + 25/320

step 3 Make the above expression as individual fractions:
= 320/320 + 25/320

step 4 Simplify the above expression:
= 1 x 320/320 + 25/320
= 1 + 25/320
= 1 + 5 x 5/64 x 5
= 1 + 5/64
1 + 5/64 can be written as a mixed number 1 ⁵/₆₄.


step 5 Find the decimal equivalent for the fractional part 5/64 in the above expression:
= 1 + 0.0781
= 1.0781
345/320 = 1.0781

Hence,
345/320 as a decimal is 1.0781
345/320 as a mixed number is 1 ⁵/₆₄