324/30 as a Decimal and Mixed Number
324/30 as a decimal and mixed number expansion provides the detailed information about what is 324/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
324/30 as a Decimal
324/30 = 10.8
Hence,
324/30 as a decimal equals to 10.8
where,
324/30 is a given fraction,
The decimal expansion of 324/30 is 10.8
324/30 as a Mixed Number
324/30 = (300 + 24)/30
= 300/30 + 24/30
= 10 + 24/30
= 10 24/30
324/30 = 10 24/30
Hence,
324/30 as a mixed number is 10 24/30
where,
324/30 is a given fraction,
10 24/30 is the mixed number representation of 324/30.
How-to: 324/30 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 324/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/30.
step 2 The numerator is greater than the denominator of the fraction 324/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/30
= 300 + 24/30
= (10 x 30) + 24/30
step 3 Make the above expression as individual fractions:
= (10 x 30)/30 + 24/30
step 4 Simplify the above expression:
= 10 x 30/30 + 24/30
= 10 + 24/30
= 10 + 4 x 6/5 x 6
= 10 + 4/5
10 + 4/5 can be written as a mixed number 10 4/5.
step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 10 + (4/5 x 2/2)
= 10 + 8/10
step 6 Simplify the above expression further:
= 10 + 0.8
= 10.8
324/30 = 10.8
Hence,
324/30 as a decimal is 10.8
324/30 as a mixed number is 10 4/5