150/65 as a Decimal and Mixed Number

150/65 as a decimal and mixed number expansion provides the detailed information about what is 150/65 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/65 as a Decimal
150/65 = 2.3077
Hence,
150/65 as a decimal equals to 2.3077
where,
150/65 is a given fraction,
The decimal expansion of 150/65 is 2.3077

150/65 as a Mixed Number
150/65 = (130 + 20)/65
= 130/65 + 20/65
= 2 + 20/65
= 2 20/65
150/65 = 2 20/65

Hence,
150/65 as a mixed number is 2 ²⁰/₆₅
where,
150/65 is a given fraction,
2 ²⁰/₆₅ is the mixed number representation of 150/65.

The below work with steps provide the detailed information about how to convert fraction 150/65 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/65

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/65.

step 2 The numerator is greater than the denominator of the fraction 150/65, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/65
= 130 + 20/65
= (2 x 65) + 20/65

step 3 Make the above expression as individual fractions:
= (2 x 65)/65 + 20/65

step 4 Simplify the above expression:
= 2 x 65/65 + 20/65
= 2 + 20/65
= 2 + 4 x 5/13 x 5
= 2 + 4/13
2 + 4/13 can be written as a mixed number 2 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 2 + 0.3077
= 2.3077
150/65 = 2.3077

Hence,
150/65 as a decimal is 2.3077
150/65 as a mixed number is 2 ⁴/₁₃