150/26 as a Decimal and Mixed Number

150/26 as a decimal and mixed number expansion provides the detailed information about what is 150/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/26 as a Decimal
150/26 = 5.7692
Hence,
150/26 as a decimal equals to 5.7692
where,
150/26 is a given fraction,
The decimal expansion of 150/26 is 5.7692

150/26 as a Mixed Number
150/26 = (130 + 20)/26
= 130/26 + 20/26
= 5 + 20/26
= 5 20/26
150/26 = 5 20/26

Hence,
150/26 as a mixed number is 5 ²⁰/₂₆
where,
150/26 is a given fraction,
5 ²⁰/₂₆ is the mixed number representation of 150/26.

The below work with steps provide the detailed information about how to convert fraction 150/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/26.

step 2 The numerator is greater than the denominator of the fraction 150/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/26
= 130 + 20/26
= (5 x 26) + 20/26

step 3 Make the above expression as individual fractions:
= (5 x 26)/26 + 20/26

step 4 Simplify the above expression:
= 5 x 26/26 + 20/26
= 5 + 20/26
= 5 + 10 x 2/13 x 2
= 5 + 10/13
5 + 10/13 can be written as a mixed number 5 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 5 + 0.7692
= 5.7692
150/26 = 5.7692

Hence,
150/26 as a decimal is 5.7692
150/26 as a mixed number is 5 ¹⁰/₁₃