340/324 as a Decimal and Mixed Number

340/324 as a decimal and mixed number expansion provides the detailed information about what is 340/324 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

340/324 as a Decimal
340/324 = 1.0494
Hence,
340/324 as a decimal equals to 1.0494
where,
340/324 is a given fraction,
The decimal expansion of 340/324 is 1.0494

340/324 as a Mixed Number
340/324 = (324 + 16)/324
= 324/324 + 16/324
= 1 + 16/324
= 1 16/324
340/324 = 1 16/324

Hence,
340/324 as a mixed number is 1 ¹⁶/₃₂₄
where,
340/324 is a given fraction,
1 ¹⁶/₃₂₄ is the mixed number representation of 340/324.

The below work with steps provide the detailed information about how to convert fraction 340/324 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 340/324

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 340/324.

step 2 The numerator is greater than the denominator of the fraction 340/324, so write the given fraction in the expression form in terms of denominator as like the below:
= 340/324
= 324 + 16/324

step 3 Make the above expression as individual fractions:
= 324/324 + 16/324

step 4 Simplify the above expression:
= 1 x 324/324 + 16/324
= 1 + 16/324
= 1 + 4 x 4/81 x 4
= 1 + 4/81
1 + 4/81 can be written as a mixed number 1 ⁴/₈₁.


step 5 Find the decimal equivalent for the fractional part 4/81 in the above expression:
= 1 + 0.0494
= 1.0494
340/324 = 1.0494

Hence,
340/324 as a decimal is 1.0494
340/324 as a mixed number is 1 ⁴/₈₁