150/22 as a Decimal and Mixed Number

150/22 as a decimal and mixed number expansion provides the detailed information about what is 150/22 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

150/22 as a Decimal
150/22 = 6.8182
Hence,
150/22 as a decimal equals to 6.8182
where,
150/22 is a given fraction,
The decimal expansion of 150/22 is 6.8182

150/22 as a Mixed Number
150/22 = (132 + 18)/22
= 132/22 + 18/22
= 6 + 18/22
= 6 18/22
150/22 = 6 18/22

Hence,
150/22 as a mixed number is 6 ¹⁸/₂₂
where,
150/22 is a given fraction,
6 ¹⁸/₂₂ is the mixed number representation of 150/22.

The below work with steps provide the detailed information about how to convert fraction 150/22 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 150/22

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 150/22.

step 2 The numerator is greater than the denominator of the fraction 150/22, so write the given fraction in the expression form in terms of denominator as like the below:
= 150/22
= 132 + 18/22
= (6 x 22) + 18/22

step 3 Make the above expression as individual fractions:
= (6 x 22)/22 + 18/22

step 4 Simplify the above expression:
= 6 x 22/22 + 18/22
= 6 + 18/22
= 6 + 9 x 2/11 x 2
= 6 + 9/11
6 + 9/11 can be written as a mixed number 6 ⁹/₁₁.


step 5 Find the decimal equivalent for the fractional part 9/11 in the above expression:
= 6 + 0.8182
= 6.8182
150/22 = 6.8182

Hence,
150/22 as a decimal is 6.8182
150/22 as a mixed number is 6 ⁹/₁₁