324/96 as a Decimal and Mixed Number
324/96 as a decimal and mixed number expansion provides the detailed information about what is 324/96 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
324/96 as a Decimal
324/96 = 3.375
Hence,
324/96 as a decimal equals to 3.375
where,
324/96 is a given fraction,
The decimal expansion of 324/96 is 3.375
324/96 as a Mixed Number
324/96 = (288 + 36)/96
= 288/96 + 36/96
= 3 + 36/96
= 3 36/96
324/96 = 3 36/96
Hence,
324/96 as a mixed number is 3 36/96
where,
324/96 is a given fraction,
3 36/96 is the mixed number representation of 324/96.
How-to: 324/96 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 324/96 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/96
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/96.
step 2 The numerator is greater than the denominator of the fraction 324/96, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/96
= 288 + 36/96
= (3 x 96) + 36/96
step 3 Make the above expression as individual fractions:
= (3 x 96)/96 + 36/96
step 4 Simplify the above expression:
= 3 x 96/96 + 36/96
= 3 + 36/96
= 3 + 3 x 12/8 x 12
= 3 + 3/8
3 + 3/8 can be written as a mixed number 3 3/8.
step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (3/8 x 125/125)
= 3 + 375/1000
step 6 Simplify the above expression further:
= 3 + 0.375
= 3.375
324/96 = 3.375
Hence,
324/96 as a decimal is 3.375
324/96 as a mixed number is 3 3/8