345/324 as a Decimal and Mixed Number

345/324 as a decimal and mixed number expansion provides the detailed information about what is 345/324 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/324 as a Decimal
345/324 = 1.0648
Hence,
345/324 as a decimal equals to 1.0648
where,
345/324 is a given fraction,
The decimal expansion of 345/324 is 1.0648

345/324 as a Mixed Number
345/324 = (324 + 21)/324
= 324/324 + 21/324
= 1 + 21/324
= 1 21/324
345/324 = 1 21/324

Hence,
345/324 as a mixed number is 1 ²¹/₃₂₄
where,
345/324 is a given fraction,
1 ²¹/₃₂₄ is the mixed number representation of 345/324.

The below work with steps provide the detailed information about how to convert fraction 345/324 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/324

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/324.

step 2 The numerator is greater than the denominator of the fraction 345/324, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/324
= 324 + 21/324

step 3 Make the above expression as individual fractions:
= 324/324 + 21/324

step 4 Simplify the above expression:
= 1 x 324/324 + 21/324
= 1 + 21/324
= 1 + 7 x 3/108 x 3
= 1 + 7/108
1 + 7/108 can be written as a mixed number 1 ⁷/₁₀₈.


step 5 Find the decimal equivalent for the fractional part 7/108 in the above expression:
= 1 + 0.0648
= 1.0648
345/324 = 1.0648

Hence,
345/324 as a decimal is 1.0648
345/324 as a mixed number is 1 ⁷/₁₀₈