324/150 as a Decimal and Mixed Number

324/150 as a decimal and mixed number expansion provides the detailed information about what is 324/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

324/150 as a Decimal
324/150 = 2.16
Hence,
324/150 as a decimal equals to 2.16
where,
324/150 is a given fraction,
The decimal expansion of 324/150 is 2.16

324/150 as a Mixed Number
324/150 = (300 + 24)/150
= 300/150 + 24/150
= 2 + 24/150
= 2 24/150
324/150 = 2 24/150

Hence,
324/150 as a mixed number is 2 ²⁴/₁₅₀
where,
324/150 is a given fraction,
2 ²⁴/₁₅₀ is the mixed number representation of 324/150.

The below work with steps provide the detailed information about how to convert fraction 324/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 324/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 324/150.

step 2 The numerator is greater than the denominator of the fraction 324/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 324/150
= 300 + 24/150
= (2 x 150) + 24/150

step 3 Make the above expression as individual fractions:
= (2 x 150)/150 + 24/150

step 4 Simplify the above expression:
= 2 x 150/150 + 24/150
= 2 + 24/150
= 2 + 4 x 6/25 x 6
= 2 + 4/25
2 + 4/25 can be written as a mixed number 2 ⁴/₂₅.


step 5 Find the decimal equivalent for the fractional part 4/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 2 + (4/25 x 4/4)
= 2 + 16/100

step 6 Simplify the above expression further:
= 2 + 0.16
= 2.16
324/150 = 2.16

Hence,
324/150 as a decimal is 2.16
324/150 as a mixed number is 2 ⁴/₂₅