309/150 as a Decimal and Mixed Number

309/150 as a decimal and mixed number expansion provides the detailed information about what is 309/150 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/150 as a Decimal
309/150 = 2.06
Hence,
309/150 as a decimal equals to 2.06
where,
309/150 is a given fraction,
The decimal expansion of 309/150 is 2.06

309/150 as a Mixed Number
309/150 = (300 + 9)/150
= 300/150 + 9/150
= 2 + 9/150
= 2 9/150
309/150 = 2 9/150

Hence,
309/150 as a mixed number is 2 ⁹/₁₅₀
where,
309/150 is a given fraction,
2 ⁹/₁₅₀ is the mixed number representation of 309/150.

The below work with steps provide the detailed information about how to convert fraction 309/150 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/150

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/150.

step 2 The numerator is greater than the denominator of the fraction 309/150, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/150
= 300 + 9/150
= (2 x 150) + 9/150

step 3 Make the above expression as individual fractions:
= (2 x 150)/150 + 9/150

step 4 Simplify the above expression:
= 2 x 150/150 + 9/150
= 2 + 9/150
= 2 + 3 x 3/50 x 3
= 2 + 3/50
2 + 3/50 can be written as a mixed number 2 ³/₅₀.


step 5 Find the decimal equivalent for the fractional part 3/50 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 2 + (3/50 x 2/2)
= 2 + 6/100

step 6 Simplify the above expression further:
= 2 + 0.06
= 2.06
309/150 = 2.06

Hence,
309/150 as a decimal is 2.06
309/150 as a mixed number is 2 ³/₅₀